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Simplifying x2 + 4x + 4 = 121 Reorder the terms: 4 + 4x + x2 = 121 Solving 4 + 4x + x2 = 121 Solving for variable 'x'. Reorder the terms: 4 + -121 + 4x + x2 = 121 + -121 Combine like terms: 4 + -121 = -117 -117 + 4x + x2 = 121 + -121 Combine like terms: 121 + -121 = 0 -117 + 4x + x2 = 0 Factor a trinomial. (-13 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-13, 9}
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