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

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

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

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

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

Add '10x' to each side of the equation.
-10x + 10x + x2 = -10x + 10x + 5x2

Combine like terms: -10x + 10x = 0
0 + x2 = -10x + 10x + 5x2
x2 = -10x + 10x + 5x2

Combine like terms: -10x + 10x = 0
x2 = 0 + 5x2
x2 = 5x2

Solving
x2 = 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
x2 + -5x2 = 5x2 + -5x2

Combine like terms: x2 + -5x2 = -4x2
-4x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-4x2 = 0

Divide each side by '-4'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}