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Simplifying 4x2 + -40x + 100 = 25 Reorder the terms: 100 + -40x + 4x2 = 25 Solving 100 + -40x + 4x2 = 25 Solving for variable 'x'. Reorder the terms: 100 + -25 + -40x + 4x2 = 25 + -25 Combine like terms: 100 + -25 = 75 75 + -40x + 4x2 = 25 + -25 Combine like terms: 25 + -25 = 0 75 + -40x + 4x2 = 0 Factor a trinomial. (5 + -2x)(15 + -2x) = 0Subproblem 1
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 = 2.5Subproblem 2
Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5Solution
x = {2.5, 7.5}
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