Solve 11(1/2)+7=A(1/2+2)^2

$$11 ( \frac { 1 } { 2 } ) + 7 = A ( \frac { 1 } { 2 } + 2 ) ^ { 2 }$$

Solve for A

$$A=2$$

Steps for Solving Linear Equation

Multiply 11 and \frac{1}{2} to get \frac{11}{2}.

$$\frac{11}{2}+7=A\left(\frac{1}{2}+2\right)^{2}$$

Add \frac{11}{2} and 7 to get \frac{25}{2}.

$$\frac{25}{2}=A\left(\frac{1}{2}+2\right)^{2}$$

Add \frac{1}{2} and 2 to get \frac{5}{2}.

$$\frac{25}{2}=A\times \left(\frac{5}{2}\right)^{2}$$

Calculate \frac{5}{2} to the power of 2 and get \frac{25}{4}.

$$\frac{25}{2}=A\times \frac{25}{4}$$

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

$$A\times \frac{25}{4}=\frac{25}{2}$$

Multiply both sides by \frac{4}{25}, the reciprocal of \frac{25}{4}.

$$A=\frac{25}{2}\times \frac{4}{25}$$

Multiply \frac{25}{2} and \frac{4}{25} to get 2.

$$A=2$$