Solve 36/5=-(12/5)^2+72/5+a

$$\frac { 36 } { 5 } = - ( \frac { 12 } { 5 } ) ^ { 2 } + \frac { 72 } { 5 } + a$$

Solve for a

$$a = -\frac{36}{25} = -1\frac{11}{25} = -1.44$$

Steps for Solving Linear Equation

Calculate \frac{12}{5} to the power of 2 and get \frac{144}{25}.

$$\frac{36}{5}=-\frac{144}{25}+\frac{72}{5}+a$$

Least common multiple of 25 and 5 is 25. Convert -\frac{144}{25} and \frac{72}{5} to fractions with denominator 25.

$$\frac{36}{5}=-\frac{144}{25}+\frac{360}{25}+a$$

Since -\frac{144}{25} and \frac{360}{25} have the same denominator, add them by adding their numerators.

$$\frac{36}{5}=\frac{-144+360}{25}+a$$

Add -144 and 360 to get 216.

$$\frac{36}{5}=\frac{216}{25}+a$$

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

$$\frac{216}{25}+a=\frac{36}{5}$$

Subtract \frac{216}{25} from both sides.

$$a=\frac{36}{5}-\frac{216}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{36}{5} and \frac{216}{25} to fractions with denominator 25.

$$a=\frac{180}{25}-\frac{216}{25}$$

Since \frac{180}{25} and \frac{216}{25} have the same denominator, subtract them by subtracting their numerators.

$$a=\frac{180-216}{25}$$

Subtract 216 from 180 to get -36.

$$a=-\frac{36}{25}$$