Issolvi (x-7)^2-x(6+x)operatorname{mon}x=-1/20

$$( x - 7 ) ^ { 2 } - x ( 6 + x ) \operatorname { mon } x = - \frac { 1 } { 20 }$$

Solvi għal m

$$m=\frac{20x^{2}-280x+981}{20no\left(x+6\right)x^{2}}$$

$$x\neq 0\text{ and }o\neq 0\text{ and }x\neq -6\text{ and }n\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika x u x biex tikseb x^{2}.

$$\left(x-7\right)^{2}-x^{2}\left(6+x\right)mon=-\frac{1}{20}$$

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-7\right)^{2}.

$$x^{2}-14x+49-x^{2}\left(6+x\right)mon=-\frac{1}{20}$$

Uża l-propjetà distributtiva biex timmultiplika x^{2} b'6+x.

$$x^{2}-14x+49-\left(6x^{2}+x^{3}\right)mon=-\frac{1}{20}$$

Uża l-propjetà distributtiva biex timmultiplika 6x^{2}+x^{3} b'm.

$$x^{2}-14x+49-\left(6x^{2}m+x^{3}m\right)on=-\frac{1}{20}$$

Uża l-propjetà distributtiva biex timmultiplika 6x^{2}m+x^{3}m b'o.

$$x^{2}-14x+49-\left(6x^{2}mo+x^{3}mo\right)n=-\frac{1}{20}$$

Uża l-propjetà distributtiva biex timmultiplika 6x^{2}mo+x^{3}mo b'n.

$$x^{2}-14x+49-\left(6x^{2}mon+x^{3}mon\right)=-\frac{1}{20}$$

Biex issib l-oppost ta' 6x^{2}mon+x^{3}mon, sib l-oppost ta' kull terminu.

$$x^{2}-14x+49-6x^{2}mon-x^{3}mon=-\frac{1}{20}$$

Naqqas x^{2} miż-żewġ naħat.

$$-14x+49-6x^{2}mon-x^{3}mon=-\frac{1}{20}-x^{2}$$

Żid 14x maż-żewġ naħat.

$$49-6x^{2}mon-x^{3}mon=-\frac{1}{20}-x^{2}+14x$$

Naqqas 49 miż-żewġ naħat.

$$-6x^{2}mon-x^{3}mon=-\frac{1}{20}-x^{2}+14x-49$$

Naqqas 49 minn -\frac{1}{20} biex tikseb -\frac{981}{20}.

$$-6x^{2}mon-x^{3}mon=-\frac{981}{20}-x^{2}+14x$$

Ikkombina t-termini kollha li fihom m.

$$\left(-6x^{2}on-x^{3}on\right)m=-\frac{981}{20}-x^{2}+14x$$

L-ekwazzjoni hija f'forma standard.

$$\left(-nox^{3}-6nox^{2}\right)m=-x^{2}+14x-\frac{981}{20}$$

Iddividi ż-żewġ naħat b'-6x^{2}on-x^{3}on.

$$\frac{\left(-nox^{3}-6nox^{2}\right)m}{-nox^{3}-6nox^{2}}=\frac{-x^{2}+14x-\frac{981}{20}}{-nox^{3}-6nox^{2}}$$

Meta tiddividi b'-6x^{2}on-x^{3}on titneħħa l-multiplikazzjoni b'-6x^{2}on-x^{3}on.

$$m=\frac{-x^{2}+14x-\frac{981}{20}}{-nox^{3}-6nox^{2}}$$

Iddividi -\frac{981}{20}-x^{2}+14x b'-6x^{2}on-x^{3}on.

$$m=\frac{-20x^{2}+280x-981}{-20no\left(x+6\right)x^{2}}$$

Solvi għal n

$$n=\frac{20x^{2}-280x+981}{20mo\left(x+6\right)x^{2}}$$

$$x\neq 0\text{ and }o\neq 0\text{ and }x\neq -6\text{ and }m\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika x u x biex tikseb x^{2}.

$$\left(x-7\right)^{2}-x^{2}\left(6+x\right)mon=-\frac{1}{20}$$

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-7\right)^{2}.

$$x^{2}-14x+49-x^{2}\left(6+x\right)mon=-\frac{1}{20}$$

Uża l-propjetà distributtiva biex timmultiplika x^{2} b'6+x.

$$x^{2}-14x+49-\left(6x^{2}+x^{3}\right)mon=-\frac{1}{20}$$

Uża l-propjetà distributtiva biex timmultiplika 6x^{2}+x^{3} b'm.

$$x^{2}-14x+49-\left(6x^{2}m+x^{3}m\right)on=-\frac{1}{20}$$

Uża l-propjetà distributtiva biex timmultiplika 6x^{2}m+x^{3}m b'o.

$$x^{2}-14x+49-\left(6x^{2}mo+x^{3}mo\right)n=-\frac{1}{20}$$

Uża l-propjetà distributtiva biex timmultiplika 6x^{2}mo+x^{3}mo b'n.

$$x^{2}-14x+49-\left(6x^{2}mon+x^{3}mon\right)=-\frac{1}{20}$$

Biex issib l-oppost ta' 6x^{2}mon+x^{3}mon, sib l-oppost ta' kull terminu.

$$x^{2}-14x+49-6x^{2}mon-x^{3}mon=-\frac{1}{20}$$

Naqqas x^{2} miż-żewġ naħat.

$$-14x+49-6x^{2}mon-x^{3}mon=-\frac{1}{20}-x^{2}$$

Żid 14x maż-żewġ naħat.

$$49-6x^{2}mon-x^{3}mon=-\frac{1}{20}-x^{2}+14x$$

Naqqas 49 miż-żewġ naħat.

$$-6x^{2}mon-x^{3}mon=-\frac{1}{20}-x^{2}+14x-49$$

Naqqas 49 minn -\frac{1}{20} biex tikseb -\frac{981}{20}.

$$-6x^{2}mon-x^{3}mon=-\frac{981}{20}-x^{2}+14x$$

Ikkombina t-termini kollha li fihom n.

$$\left(-6x^{2}mo-x^{3}mo\right)n=-\frac{981}{20}-x^{2}+14x$$

L-ekwazzjoni hija f'forma standard.

$$\left(-mox^{3}-6mox^{2}\right)n=-x^{2}+14x-\frac{981}{20}$$

Iddividi ż-żewġ naħat b'-6x^{2}mo-x^{3}mo.

$$\frac{\left(-mox^{3}-6mox^{2}\right)n}{-mox^{3}-6mox^{2}}=\frac{-x^{2}+14x-\frac{981}{20}}{-mox^{3}-6mox^{2}}$$

Meta tiddividi b'-6x^{2}mo-x^{3}mo titneħħa l-multiplikazzjoni b'-6x^{2}mo-x^{3}mo.

$$n=\frac{-x^{2}+14x-\frac{981}{20}}{-mox^{3}-6mox^{2}}$$

Iddividi -\frac{981}{20}-x^{2}+14x b'-6x^{2}mo-x^{3}mo.

$$n=\frac{-20x^{2}+280x-981}{-20mo\left(x+6\right)x^{2}}$$