5x(2x-4)=10(9-2x)

Solution for 5x(2x-4)=10(9-2x) equation:

Simplifying
5x(2x + -4) = 10(9 + -2x)

Reorder the terms:
5x(-4 + 2x) = 10(9 + -2x)
(-4 * 5x + 2x * 5x) = 10(9 + -2x)
(-20x + 10x2) = 10(9 + -2x)
-20x + 10x2 = (9 * 10 + -2x * 10)
-20x + 10x2 = (90 + -20x)

Add '20x' to each side of the equation.
-20x + 20x + 10x2 = 90 + -20x + 20x

Combine like terms: -20x + 20x = 0
0 + 10x2 = 90 + -20x + 20x
10x2 = 90 + -20x + 20x

Combine like terms: -20x + 20x = 0
10x2 = 90 + 0
10x2 = 90

Solving
10x2 = 90

Solving for variable 'x'.

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

Divide each side by '10'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}