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Simplifying
5(5 + 20) = 2x(2x + 2x)
Combine like terms: 5 + 20 = 25
5(25) = 2x(2x + 2x)
Multiply 5 * 25
125 = 2x(2x + 2x)
Combine like terms: 2x + 2x = 4x
125 = 2x(4x)
Remove parenthesis around (4x)
125 = 2x * 4x
Reorder the terms for easier multiplication:
125 = 2 * 4x * x
Multiply 2 * 4
125 = 8x * x
Multiply x * x
125 = 8x2
Solving
125 = 8x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x2' to each side of the equation.
125 + -8x2 = 8x2 + -8x2
Combine like terms: 8x2 + -8x2 = 0
125 + -8x2 = 0
Add '-125' to each side of the equation.
125 + -125 + -8x2 = 0 + -125
Combine like terms: 125 + -125 = 0
0 + -8x2 = 0 + -125
-8x2 = 0 + -125
Combine like terms: 0 + -125 = -125
-8x2 = -125
Divide each side by '-8'.
x2 = 15.625
Simplifying
x2 = 15.625
Take the square root of each side:
x = {-3.952847075, 3.952847075}
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