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Simplifying 20x2 + 40x = -15 Reorder the terms: 40x + 20x2 = -15 Solving 40x + 20x2 = -15 Solving for variable 'x'. Reorder the terms: 15 + 40x + 20x2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 40x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(3 + 8x + 4x2) = 0 Factor a trinomial. 5((3 + 2x)(1 + 2x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-1.5, -0.5}
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