Solve x^2-5x+2a=0

$$x ^ { 2 } - 5 x + 2 a = 0$$

Solve for a

$$a=-\frac{x\left(x-5\right)}{2}$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.

$$-5x+2a=-x^{2}$$

Add 5x to both sides.

$$2a=-x^{2}+5x$$

The equation is in standard form.

$$2a=5x-x^{2}$$

Divide both sides by 2.

$$\frac{2a}{2}=\frac{x\left(5-x\right)}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$a=\frac{x\left(5-x\right)}{2}$$

Solve for x (complex solution)

$$x=\frac{\sqrt{25-8a}+5}{2}$$

$$x=\frac{-\sqrt{25-8a}+5}{2}$$

Solve for x

$$x=\frac{\sqrt{25-8a}+5}{2}$$

$$x=\frac{-\sqrt{25-8a}+5}{2}\text{, }a\leq \frac{25}{8}$$