Solve x^2-a/4=7x

$$x ^ { 2 } - \frac { a } { 4 } = 7 x$$

Solve for a

$$a=4x\left(x-7\right)$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$4x^{2}-a=28x$$

Subtract 4x^{2} from both sides.

$$-a=28x-4x^{2}$$

Divide both sides by -1.

$$\frac{-a}{-1}=\frac{4x\left(7-x\right)}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$a=\frac{4x\left(7-x\right)}{-1}$$

Divide 4x\left(7-x\right) by -1.

$$a=-4x\left(7-x\right)$$

Solve for x (complex solution)

$$x=\frac{\sqrt{a+49}+7}{2}$$

$$x=\frac{-\sqrt{a+49}+7}{2}$$

Solve for x

$$x=\frac{\sqrt{a+49}+7}{2}$$

$$x=\frac{-\sqrt{a+49}+7}{2}\text{, }a\geq -49$$