Issolvi {l}{{(2x+1)}{(2x+6)}-7{(x-2)}=4{(x+1)}{(x-1)}-9x}{y=pi}{z=y}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { {(2 x + 1)} {(2 x + 6)} - 7 {(x - 2)} = 4 {(x + 1)} {(x - 1)} - 9 x }\\ { y = \pi }\\ { z = y }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Solvi għal x, y, z, a, b, c

$$c=\pi \approx 3.141592654$$

Passi tas-Soluzzjonijiet

Ikkunsidra l-ewwel ekwazzjoni. Uża l-propjetà distributtiva biex timmultiplika 2x+1 b'2x+6 u kkombina termini simili.

$$4x^{2}+14x+6-7\left(x-2\right)=4\left(x+1\right)\left(x-1\right)-9x$$

Uża l-propjetà distributtiva biex timmultiplika -7 b'x-2.

$$4x^{2}+14x+6-7x+14=4\left(x+1\right)\left(x-1\right)-9x$$

Ikkombina 14x u -7x biex tikseb 7x.

$$4x^{2}+7x+6+14=4\left(x+1\right)\left(x-1\right)-9x$$

Żid 6 u 14 biex tikseb 20.

$$4x^{2}+7x+20=4\left(x+1\right)\left(x-1\right)-9x$$

Uża l-propjetà distributtiva biex timmultiplika 4 b'x+1.

$$4x^{2}+7x+20=\left(4x+4\right)\left(x-1\right)-9x$$

Uża l-propjetà distributtiva biex timmultiplika 4x+4 b'x-1 u kkombina termini simili.

$$4x^{2}+7x+20=4x^{2}-4-9x$$

Naqqas 4x^{2} miż-żewġ naħat.

$$4x^{2}+7x+20-4x^{2}=-4-9x$$

Ikkombina 4x^{2} u -4x^{2} biex tikseb 0.

$$7x+20=-4-9x$$

Żid 9x maż-żewġ naħat.

$$7x+20+9x=-4$$

Ikkombina 7x u 9x biex tikseb 16x.

$$16x+20=-4$$

Naqqas 20 miż-żewġ naħat.

$$16x=-4-20$$

Naqqas 20 minn -4 biex tikseb -24.

$$16x=-24$$

Iddividi ż-żewġ naħat b'16.

$$x=\frac{-24}{16}$$

Naqqas il-frazzjoni \frac{-24}{16} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 8.

$$x=-\frac{3}{2}$$

Is-sistema issa solvuta.

$$x=-\frac{3}{2} y=\pi z=\pi a=\pi b=\pi c=\pi$$