x(10-x)=2(5x-2)

Solution for x(10-x)=2(5x-2) equation:

Simplifying
x(10 + -1x) = 2(5x + -2)
(10 * x + -1x * x) = 2(5x + -2)
(10x + -1x2) = 2(5x + -2)

Reorder the terms:
10x + -1x2 = 2(-2 + 5x)
10x + -1x2 = (-2 * 2 + 5x * 2)
10x + -1x2 = (-4 + 10x)

Add '-10x' to each side of the equation.
10x + -10x + -1x2 = -4 + 10x + -10x

Combine like terms: 10x + -10x = 0
0 + -1x2 = -4 + 10x + -10x
-1x2 = -4 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1x2 = -4 + 0
-1x2 = -4

Solving
-1x2 = -4

Solving for variable 'x'.

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

Divide each side by '-1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}