Solve 190cm^2=60cm^2+26acm

$$190 cm ^ { 2 } = 60 cm ^ { 2 } + 26 acm$$

Solve for a (complex solution)

$$\left\{\begin{matrix}\\a=5m\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&m=0\text{ or }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$60cm^{2}+26acm=190cm^{2}$$

Subtract 60cm^{2} from both sides.

$$26acm=190cm^{2}-60cm^{2}$$

Combine 190cm^{2} and -60cm^{2} to get 130cm^{2}.

$$26acm=130cm^{2}$$

The equation is in standard form.

$$26cma=130cm^{2}$$

Divide both sides by 26cm.

$$\frac{26cma}{26cm}=\frac{130cm^{2}}{26cm}$$

Dividing by 26cm undoes the multiplication by 26cm.

$$a=\frac{130cm^{2}}{26cm}$$

Divide 130cm^{2} by 26cm.

$$a=5m$$

Solve for c (complex solution)

$$\left\{\begin{matrix}\\c=0\text{, }&\text{unconditionally}\\c\in \mathrm{C}\text{, }&m=\frac{a}{5}\text{ or }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 60cm^{2} from both sides.

$$190cm^{2}-60cm^{2}=26acm$$

Combine 190cm^{2} and -60cm^{2} to get 130cm^{2}.

$$130cm^{2}=26acm$$

Subtract 26acm from both sides.

$$130cm^{2}-26acm=0$$

Combine all terms containing c.

$$\left(130m^{2}-26am\right)c=0$$

Divide 0 by 130m^{2}-26am.

$$c=0$$

Solve for a

$$\left\{\begin{matrix}\\a=5m\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&m=0\text{ or }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$60cm^{2}+26acm=190cm^{2}$$

Subtract 60cm^{2} from both sides.

$$26acm=190cm^{2}-60cm^{2}$$

Combine 190cm^{2} and -60cm^{2} to get 130cm^{2}.

$$26acm=130cm^{2}$$

The equation is in standard form.

$$26cma=130cm^{2}$$

Divide both sides by 26cm.

$$\frac{26cma}{26cm}=\frac{130cm^{2}}{26cm}$$

Dividing by 26cm undoes the multiplication by 26cm.

$$a=\frac{130cm^{2}}{26cm}$$

Divide 130cm^{2} by 26cm.

$$a=5m$$

Solve for c

$$\left\{\begin{matrix}\\c=0\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=\frac{a}{5}\text{ or }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 60cm^{2} from both sides.

$$190cm^{2}-60cm^{2}=26acm$$

Combine 190cm^{2} and -60cm^{2} to get 130cm^{2}.

$$130cm^{2}=26acm$$

Subtract 26acm from both sides.

$$130cm^{2}-26acm=0$$

Combine all terms containing c.

$$\left(130m^{2}-26am\right)c=0$$

Divide 0 by 130m^{2}-26am.

$$c=0$$