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Simplifying -10x2 + -34x = 12 Reorder the terms: -34x + -10x2 = 12 Solving -34x + -10x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + -34x + -10x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -34x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(6 + 17x + 5x2) = 0 Factor a trinomial. -2((3 + x)(2 + 5x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 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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