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Simplifying 6x2 + 78x = -216 Reorder the terms: 78x + 6x2 = -216 Solving 78x + 6x2 = -216 Solving for variable 'x'. Reorder the terms: 216 + 78x + 6x2 = -216 + 216 Combine like terms: -216 + 216 = 0 216 + 78x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(36 + 13x + x2) = 0 Factor a trinomial. 6((9 + x)(4 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-9, -4}
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