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Simplifying 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. (4 + -1x)(16 + -1x) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 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 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {4, 16}
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