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Simplifying -20x2 + 52x = -24 Reorder the terms: 52x + -20x2 = -24 Solving 52x + -20x2 = -24 Solving for variable 'x'. Reorder the terms: 24 + 52x + -20x2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 52x + -20x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(6 + 13x + -5x2) = 0 Factor a trinomial. 4((3 + -1x)(2 + 5x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {3, -0.4}
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