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Simplifying 44 + -2x = x2 + -20x + -100 Reorder the terms: 44 + -2x = -100 + -20x + x2 Solving 44 + -2x = -100 + -20x + x2 Solving for variable 'x'. Reorder the terms: 44 + 100 + -2x + 20x + -1x2 = -100 + -20x + x2 + 100 + 20x + -1x2 Combine like terms: 44 + 100 = 144 144 + -2x + 20x + -1x2 = -100 + -20x + x2 + 100 + 20x + -1x2 Combine like terms: -2x + 20x = 18x 144 + 18x + -1x2 = -100 + -20x + x2 + 100 + 20x + -1x2 Reorder the terms: 144 + 18x + -1x2 = -100 + 100 + -20x + 20x + x2 + -1x2 Combine like terms: -100 + 100 = 0 144 + 18x + -1x2 = 0 + -20x + 20x + x2 + -1x2 144 + 18x + -1x2 = -20x + 20x + x2 + -1x2 Combine like terms: -20x + 20x = 0 144 + 18x + -1x2 = 0 + x2 + -1x2 144 + 18x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 144 + 18x + -1x2 = 0 Factor a trinomial. (24 + -1x)(6 + x) = 0Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {24, -6}
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