Issolvi dh=(1.5t+6)dt

$$d h = ( 1.5 t + 6 ) d t$$

Solvi għal d (complex solution)

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&h=t\left(\frac{3t}{2}+6\right)\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 1.5t+6 b'd.

$$dh=\left(1.5td+6d\right)t$$

Uża l-propjetà distributtiva biex timmultiplika 1.5td+6d b't.

$$dh=1.5dt^{2}+6dt$$

Naqqas 1.5dt^{2} miż-żewġ naħat.

$$dh-1.5dt^{2}=6dt$$

Naqqas 6dt miż-żewġ naħat.

$$dh-1.5dt^{2}-6dt=0$$

Ikkombina t-termini kollha li fihom d.

$$\left(h-1.5t^{2}-6t\right)d=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(-\frac{3t^{2}}{2}+h-6t\right)d=0$$

Iddividi 0 b'-1.5t^{2}-6t+h.

$$d=0$$

Solvi għal h (complex solution)

$$\left\{\begin{matrix}\\h=t\left(\frac{3t}{2}+6\right)\text{, }&\text{unconditionally}\\h\in \mathrm{C}\text{, }&d=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 1.5t+6 b'd.

$$dh=\left(1.5td+6d\right)t$$

Uża l-propjetà distributtiva biex timmultiplika 1.5td+6d b't.

$$dh=1.5dt^{2}+6dt$$

L-ekwazzjoni hija f'forma standard.

$$dh=\frac{3dt^{2}}{2}+6dt$$

Iddividi ż-żewġ naħat b'd.

$$\frac{dh}{d}=\frac{dt\left(\frac{3t}{2}+6\right)}{d}$$

Meta tiddividi b'd titneħħa l-multiplikazzjoni b'd.

$$h=\frac{dt\left(\frac{3t}{2}+6\right)}{d}$$

Iddividi dt\left(6+\frac{3t}{2}\right) b'd.

$$h=\frac{3t\left(t+4\right)}{2}$$

Solvi għal d

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&h=t\left(\frac{3t}{2}+6\right)\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 1.5t+6 b'd.

$$dh=\left(1.5td+6d\right)t$$

Uża l-propjetà distributtiva biex timmultiplika 1.5td+6d b't.

$$dh=1.5dt^{2}+6dt$$

Naqqas 1.5dt^{2} miż-żewġ naħat.

$$dh-1.5dt^{2}=6dt$$

Naqqas 6dt miż-żewġ naħat.

$$dh-1.5dt^{2}-6dt=0$$

Ikkombina t-termini kollha li fihom d.

$$\left(h-1.5t^{2}-6t\right)d=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(-\frac{3t^{2}}{2}+h-6t\right)d=0$$

Iddividi 0 b'-1.5t^{2}-6t+h.

$$d=0$$

Solvi għal h

$$\left\{\begin{matrix}\\h=t\left(\frac{3t}{2}+6\right)\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&d=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 1.5t+6 b'd.

$$dh=\left(1.5td+6d\right)t$$

Uża l-propjetà distributtiva biex timmultiplika 1.5td+6d b't.

$$dh=1.5dt^{2}+6dt$$

L-ekwazzjoni hija f'forma standard.

$$dh=\frac{3dt^{2}}{2}+6dt$$

Iddividi ż-żewġ naħat b'd.

$$\frac{dh}{d}=\frac{dt\left(\frac{3t}{2}+6\right)}{d}$$

Meta tiddividi b'd titneħħa l-multiplikazzjoni b'd.

$$h=\frac{dt\left(\frac{3t}{2}+6\right)}{d}$$

Iddividi dt\left(6+\frac{3t}{2}\right) b'd.

$$h=\frac{3t\left(t+4\right)}{2}$$