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Simplifying 2x2 + 16x = -14 Reorder the terms: 16x + 2x2 = -14 Solving 16x + 2x2 = -14 Solving for variable 'x'. Reorder the terms: 14 + 16x + 2x2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 16x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 8x + x2) = 0 Factor a trinomial. 2((7 + x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 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, -1}
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