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Simplifying 10x2 = -55x + -60 Reorder the terms: 10x2 = -60 + -55x Solving 10x2 = -60 + -55x Solving for variable 'x'. Reorder the terms: 60 + 55x + 10x2 = -60 + -55x + 60 + 55x Reorder the terms: 60 + 55x + 10x2 = -60 + 60 + -55x + 55x Combine like terms: -60 + 60 = 0 60 + 55x + 10x2 = 0 + -55x + 55x 60 + 55x + 10x2 = -55x + 55x Combine like terms: -55x + 55x = 0 60 + 55x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(12 + 11x + 2x2) = 0 Factor a trinomial. 5((4 + x)(3 + 2x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
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 = -1.5Solution
x = {-4, -1.5}
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