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Simplifying 0 = -3456 + 120x + x2 Solving 0 = -3456 + 120x + x2 Solving for variable 'x'. Combine like terms: 0 + 3456 = 3456 3456 + -120x + -1x2 = -3456 + 120x + x2 + 3456 + -120x + -1x2 Reorder the terms: 3456 + -120x + -1x2 = -3456 + 3456 + 120x + -120x + x2 + -1x2 Combine like terms: -3456 + 3456 = 0 3456 + -120x + -1x2 = 0 + 120x + -120x + x2 + -1x2 3456 + -120x + -1x2 = 120x + -120x + x2 + -1x2 Combine like terms: 120x + -120x = 0 3456 + -120x + -1x2 = 0 + x2 + -1x2 3456 + -120x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3456 + -120x + -1x2 = 0 Factor a trinomial. (24 + -1x)(144 + x) = 0Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 2
Set the factor '(144 + x)' equal to zero and attempt to solve: Simplifying 144 + x = 0 Solving 144 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + x = 0 + -144 Combine like terms: 144 + -144 = 0 0 + x = 0 + -144 x = 0 + -144 Combine like terms: 0 + -144 = -144 x = -144 Simplifying x = -144Solution
x = {24, -144}
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