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Simplifying 2x(2x + 120) = 625 Reorder the terms: 2x(120 + 2x) = 625 (120 * 2x + 2x * 2x) = 625 (240x + 4x2) = 625 Solving 240x + 4x2 = 625 Solving for variable 'x'. Reorder the terms: -625 + 240x + 4x2 = 625 + -625 Combine like terms: 625 + -625 = 0 -625 + 240x + 4x2 = 0 Factor a trinomial. (-125 + -2x)(5 + -2x) = 0Subproblem 1
Set the factor '(-125 + -2x)' equal to zero and attempt to solve: Simplifying -125 + -2x = 0 Solving -125 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + -2x = 0 + 125 Combine like terms: -125 + 125 = 0 0 + -2x = 0 + 125 -2x = 0 + 125 Combine like terms: 0 + 125 = 125 -2x = 125 Divide each side by '-2'. x = -62.5 Simplifying x = -62.5Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-62.5, 2.5}
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