Solve 0=a(0^2)+b(a)+c

$$0 = a ( 0 ^ { 2 } ) + b ( a ) + c$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{c}{b}\text{, }&b\neq 0\\a\in \mathrm{R}\text{, }&c=0\text{ and }b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 0 to the power of 2 and get 0.

$$0=a\times 0+ba+c$$

Anything times zero gives zero.

$$0=0+ba+c$$

Anything plus zero gives itself.

$$0=ba+c$$

Swap sides so that all variable terms are on the left hand side.

$$ba+c=0$$

Subtract c from both sides. Anything subtracted from zero gives its negation.

$$ba=-c$$

Divide both sides by b.

$$\frac{ba}{b}=-\frac{c}{b}$$

Dividing by b undoes the multiplication by b.

$$a=-\frac{c}{b}$$

Solve for b

$$\left\{\begin{matrix}b=-\frac{c}{a}\text{, }&a\neq 0\\b\in \mathrm{R}\text{, }&c=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 0 to the power of 2 and get 0.

$$0=a\times 0+ba+c$$

Anything times zero gives zero.

$$0=0+ba+c$$

Anything plus zero gives itself.

$$0=ba+c$$

Swap sides so that all variable terms are on the left hand side.

$$ba+c=0$$

Subtract c from both sides. Anything subtracted from zero gives its negation.

$$ba=-c$$

The equation is in standard form.

$$ab=-c$$

Divide both sides by a.

$$\frac{ab}{a}=-\frac{c}{a}$$

Dividing by a undoes the multiplication by a.

$$b=-\frac{c}{a}$$