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Simplifying x2 + -18x + 100 = 44 Reorder the terms: 100 + -18x + x2 = 44 Solving 100 + -18x + x2 = 44 Solving for variable 'x'. Reorder the terms: 100 + -44 + -18x + x2 = 44 + -44 Combine like terms: 100 + -44 = 56 56 + -18x + x2 = 44 + -44 Combine like terms: 44 + -44 = 0 56 + -18x + x2 = 0 Factor a trinomial. (4 + -1x)(14 + -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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {4, 14}
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