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Simplifying 4x2 + 4x = -10x + -12 Reorder the terms: 4x + 4x2 = -10x + -12 Reorder the terms: 4x + 4x2 = -12 + -10x Solving 4x + 4x2 = -12 + -10x Solving for variable 'x'. Reorder the terms: 12 + 4x + 10x + 4x2 = -12 + -10x + 12 + 10x Combine like terms: 4x + 10x = 14x 12 + 14x + 4x2 = -12 + -10x + 12 + 10x Reorder the terms: 12 + 14x + 4x2 = -12 + 12 + -10x + 10x Combine like terms: -12 + 12 = 0 12 + 14x + 4x2 = 0 + -10x + 10x 12 + 14x + 4x2 = -10x + 10x Combine like terms: -10x + 10x = 0 12 + 14x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 7x + 2x2) = 0 Factor a trinomial. 2((2 + x)(3 + 2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -1.5}
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