Solve -7.5(x)+(5x)(x/2)+m=0

$$- 7.5 ( x ) + ( 5 x ) ( \frac { x } { 2 } ) + m = 0$$

Solve for m

$$m=-\frac{5x\left(x-3\right)}{2}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$-15x+5xx+2m=0$$

Multiply x and x to get x^{2}.

$$-15x+5x^{2}+2m=0$$

Add 15x to both sides. Anything plus zero gives itself.

$$5x^{2}+2m=15x$$

Subtract 5x^{2} from both sides.

$$2m=15x-5x^{2}$$

Divide both sides by 2.

$$\frac{2m}{2}=\frac{5x\left(3-x\right)}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$m=\frac{5x\left(3-x\right)}{2}$$

Solve for x (complex solution)

$$x=\frac{\sqrt{225-40m}}{10}+1.5$$

$$x=-\frac{\sqrt{225-40m}}{10}+1.5$$

Solve for x

$$x=\frac{\sqrt{225-40m}}{10}+1.5$$

$$x=-\frac{\sqrt{225-40m}}{10}+1.5\text{, }m\leq \frac{45}{8}$$