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Simplifying 0 = 8x2 + 12x + -56 Reorder the terms: 0 = -56 + 12x + 8x2 Solving 0 = -56 + 12x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 56 = 56 56 + -12x + -8x2 = -56 + 12x + 8x2 + 56 + -12x + -8x2 Reorder the terms: 56 + -12x + -8x2 = -56 + 56 + 12x + -12x + 8x2 + -8x2 Combine like terms: -56 + 56 = 0 56 + -12x + -8x2 = 0 + 12x + -12x + 8x2 + -8x2 56 + -12x + -8x2 = 12x + -12x + 8x2 + -8x2 Combine like terms: 12x + -12x = 0 56 + -12x + -8x2 = 0 + 8x2 + -8x2 56 + -12x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 56 + -12x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(14 + -3x + -2x2) = 0 Factor a trinomial. 4((2 + -1x)(7 + 2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {2, -3.5}
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