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Simplifying x2 + 78x + 792 = 0 Reorder the terms: 792 + 78x + x2 = 0 Solving 792 + 78x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (66 + x)(12 + x) = 0Subproblem 1
Set the factor '(66 + x)' equal to zero and attempt to solve: Simplifying 66 + x = 0 Solving 66 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + x = 0 + -66 x = 0 + -66 Combine like terms: 0 + -66 = -66 x = -66 Simplifying x = -66Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 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 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {-66, -12}
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