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Simplifying -16x2 = 40x + 25 Reorder the terms: -16x2 = 25 + 40x Solving -16x2 = 25 + 40x Solving for variable 'x'. Reorder the terms: -25 + -40x + -16x2 = 25 + 40x + -25 + -40x Reorder the terms: -25 + -40x + -16x2 = 25 + -25 + 40x + -40x Combine like terms: 25 + -25 = 0 -25 + -40x + -16x2 = 0 + 40x + -40x -25 + -40x + -16x2 = 40x + -40x Combine like terms: 40x + -40x = 0 -25 + -40x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 40x + 16x2) = 0 Factor a trinomial. -1((5 + 4x)(5 + 4x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {-1.25, -1.25}
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