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Simplifying x2 + 4x + 4 = 100 Reorder the terms: 4 + 4x + x2 = 100 Solving 4 + 4x + x2 = 100 Solving for variable 'x'. Reorder the terms: 4 + -100 + 4x + x2 = 100 + -100 Combine like terms: 4 + -100 = -96 -96 + 4x + x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -96 + 4x + x2 = 0 Factor a trinomial. (-12 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 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 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-12, 8}
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