800=(x)*(x+.5x)

Solution for 800=(x)*(x+.5x) equation:

Simplifying
800 = (x)(x + 0.5x)

Combine like terms: x + 0.5x = 1.5x
800 = x(1.5x)

Remove parenthesis around (1.5x)
800 = x * 1.5x

Reorder the terms for easier multiplication:
800 = 1.5x * x

Multiply x * x
800 = 1.5x2

Solving
800 = 1.5x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.5x2' to each side of the equation.
800 + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
800 + -1.5x2 = 0.0

Add '-800' to each side of the equation.
800 + -800 + -1.5x2 = 0.0 + -800

Combine like terms: 800 + -800 = 0
0 + -1.5x2 = 0.0 + -800
-1.5x2 = 0.0 + -800

Combine like terms: 0.0 + -800 = -800
-1.5x2 = -800

Divide each side by '-1.5'.
x2 = 533.3333333

Simplifying
x2 = 533.3333333

Take the square root of each side:
x = {-23.094010767, 23.094010767}