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Simplifying x2 + 112x + 3136 = 0 Reorder the terms: 3136 + 112x + x2 = 0 Solving 3136 + 112x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (56 + x)(56 + x) = 0Subproblem 1
Set the factor '(56 + x)' equal to zero and attempt to solve: Simplifying 56 + x = 0 Solving 56 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + x = 0 + -56 x = 0 + -56 Combine like terms: 0 + -56 = -56 x = -56 Simplifying x = -56Subproblem 2
Set the factor '(56 + x)' equal to zero and attempt to solve: Simplifying 56 + x = 0 Solving 56 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + x = 0 + -56 x = 0 + -56 Combine like terms: 0 + -56 = -56 x = -56 Simplifying x = -56Solution
x = {-56, -56}
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