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Simplifying 3x2 + 34x + -10 = -1x2 + -40 Reorder the terms: -10 + 34x + 3x2 = -1x2 + -40 Reorder the terms: -10 + 34x + 3x2 = -40 + -1x2 Solving -10 + 34x + 3x2 = -40 + -1x2 Solving for variable 'x'. Reorder the terms: -10 + 40 + 34x + 3x2 + x2 = -40 + -1x2 + 40 + x2 Combine like terms: -10 + 40 = 30 30 + 34x + 3x2 + x2 = -40 + -1x2 + 40 + x2 Combine like terms: 3x2 + x2 = 4x2 30 + 34x + 4x2 = -40 + -1x2 + 40 + x2 Reorder the terms: 30 + 34x + 4x2 = -40 + 40 + -1x2 + x2 Combine like terms: -40 + 40 = 0 30 + 34x + 4x2 = 0 + -1x2 + x2 30 + 34x + 4x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 30 + 34x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 17x + 2x2) = 0 Factor a trinomial. 2((15 + 2x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + 2x)' equal to zero and attempt to solve: Simplifying 15 + 2x = 0 Solving 15 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 0 + -15 2x = 0 + -15 Combine like terms: 0 + -15 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-7.5, -1}
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