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Simplifying -4x2 = 20x + 25 Reorder the terms: -4x2 = 25 + 20x Solving -4x2 = 25 + 20x Solving for variable 'x'. Reorder the terms: -25 + -20x + -4x2 = 25 + 20x + -25 + -20x Reorder the terms: -25 + -20x + -4x2 = 25 + -25 + 20x + -20x Combine like terms: 25 + -25 = 0 -25 + -20x + -4x2 = 0 + 20x + -20x -25 + -20x + -4x2 = 20x + -20x Combine like terms: 20x + -20x = 0 -25 + -20x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 20x + 4x2) = 0 Factor a trinomial. -1((5 + 2x)(5 + 2x)) = 0 Ignore the factor -1.Subproblem 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 '(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 = {-2.5, -2.5}
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