5(20)=2x(2x)

Solution for 5(20)=2x(2x) equation:

Simplifying
5(20) = 2x(2x)

Multiply 5 * 20
100 = 2x(2x)

Remove parenthesis around (2x)
100 = 2x * 2x

Reorder the terms for easier multiplication:
100 = 2 * 2x * x

Multiply 2 * 2
100 = 4x * x

Multiply x * x
100 = 4x2

Solving
100 = 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
100 + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
100 + -4x2 = 0

Add '-100' to each side of the equation.
100 + -100 + -4x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -4x2 = 0 + -100
-4x2 = 0 + -100

Combine like terms: 0 + -100 = -100
-4x2 = -100

Divide each side by '-4'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}