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Simplifying x2 + 14x + 48 = 120 Reorder the terms: 48 + 14x + x2 = 120 Solving 48 + 14x + x2 = 120 Solving for variable 'x'. Reorder the terms: 48 + -120 + 14x + x2 = 120 + -120 Combine like terms: 48 + -120 = -72 -72 + 14x + x2 = 120 + -120 Combine like terms: 120 + -120 = 0 -72 + 14x + x2 = 0 Factor a trinomial. (-18 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-18, 4}
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