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Simplifying (x2) + 20x + 100 = 36 x2 + 20x + 100 = 36 Reorder the terms: 100 + 20x + x2 = 36 Solving 100 + 20x + x2 = 36 Solving for variable 'x'. Reorder the terms: 100 + -36 + 20x + x2 = 36 + -36 Combine like terms: 100 + -36 = 64 64 + 20x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 64 + 20x + x2 = 0 Factor a trinomial. (16 + x)(4 + x) = 0Subproblem 1
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-16, -4}
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