Solve c_{1}h(x)=-4x^2

$$c _ { 1 } h ( x ) = - 4 x ^ { 2 }$$

Solve for c_1 (complex solution)

$$\left\{\begin{matrix}c_{1}=-\frac{4x}{h}\text{, }&h\neq 0\\c_{1}\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$hxc_{1}=-4x^{2}$$

Divide both sides by hx.

$$\frac{hxc_{1}}{hx}=-\frac{4x^{2}}{hx}$$

Dividing by hx undoes the multiplication by hx.

$$c_{1}=-\frac{4x^{2}}{hx}$$

Divide -4x^{2} by hx.

$$c_{1}=-\frac{4x}{h}$$

Solve for h (complex solution)

$$\left\{\begin{matrix}h=-\frac{4x}{c_{1}}\text{, }&c_{1}\neq 0\\h\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$c_{1}xh=-4x^{2}$$

Divide both sides by c_{1}x.

$$\frac{c_{1}xh}{c_{1}x}=-\frac{4x^{2}}{c_{1}x}$$

Dividing by c_{1}x undoes the multiplication by c_{1}x.

$$h=-\frac{4x^{2}}{c_{1}x}$$

Divide -4x^{2} by c_{1}x.

$$h=-\frac{4x}{c_{1}}$$

Solve for c_1

$$\left\{\begin{matrix}c_{1}=-\frac{4x}{h}\text{, }&h\neq 0\\c_{1}\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$hxc_{1}=-4x^{2}$$

Divide both sides by hx.

$$\frac{hxc_{1}}{hx}=-\frac{4x^{2}}{hx}$$

Dividing by hx undoes the multiplication by hx.

$$c_{1}=-\frac{4x^{2}}{hx}$$

Divide -4x^{2} by hx.

$$c_{1}=-\frac{4x}{h}$$

Solve for h

$$\left\{\begin{matrix}h=-\frac{4x}{c_{1}}\text{, }&c_{1}\neq 0\\h\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$c_{1}xh=-4x^{2}$$

Divide both sides by c_{1}x.

$$\frac{c_{1}xh}{c_{1}x}=-\frac{4x^{2}}{c_{1}x}$$

Dividing by c_{1}x undoes the multiplication by c_{1}x.

$$h=-\frac{4x^{2}}{c_{1}x}$$

Divide -4x^{2} by c_{1}x.

$$h=-\frac{4x}{c_{1}}$$