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Simplifying 2x2 + 6x + 8 = 224 Reorder the terms: 8 + 6x + 2x2 = 224 Solving 8 + 6x + 2x2 = 224 Solving for variable 'x'. Reorder the terms: 8 + -224 + 6x + 2x2 = 224 + -224 Combine like terms: 8 + -224 = -216 -216 + 6x + 2x2 = 224 + -224 Combine like terms: 224 + -224 = 0 -216 + 6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-108 + 3x + x2) = 0 Factor a trinomial. 2((-12 + -1x)(9 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-12, 9}
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