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Simplifying 0 = 8x2 + -6x + -14 Reorder the terms: 0 = -14 + -6x + 8x2 Solving 0 = -14 + -6x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 14 = 14 14 + 6x + -8x2 = -14 + -6x + 8x2 + 14 + 6x + -8x2 Reorder the terms: 14 + 6x + -8x2 = -14 + 14 + -6x + 6x + 8x2 + -8x2 Combine like terms: -14 + 14 = 0 14 + 6x + -8x2 = 0 + -6x + 6x + 8x2 + -8x2 14 + 6x + -8x2 = -6x + 6x + 8x2 + -8x2 Combine like terms: -6x + 6x = 0 14 + 6x + -8x2 = 0 + 8x2 + -8x2 14 + 6x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 14 + 6x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 3x + -4x2) = 0 Factor a trinomial. 2((7 + -4x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 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 = {1.75, -1}
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