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Simplifying x2 + -33x + 100 = 56 + -9x Reorder the terms: 100 + -33x + x2 = 56 + -9x Solving 100 + -33x + x2 = 56 + -9x Solving for variable 'x'. Reorder the terms: 100 + -56 + -33x + 9x + x2 = 56 + -9x + -56 + 9x Combine like terms: 100 + -56 = 44 44 + -33x + 9x + x2 = 56 + -9x + -56 + 9x Combine like terms: -33x + 9x = -24x 44 + -24x + x2 = 56 + -9x + -56 + 9x Reorder the terms: 44 + -24x + x2 = 56 + -56 + -9x + 9x Combine like terms: 56 + -56 = 0 44 + -24x + x2 = 0 + -9x + 9x 44 + -24x + x2 = -9x + 9x Combine like terms: -9x + 9x = 0 44 + -24x + x2 = 0 Factor a trinomial. (2 + -1x)(22 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22Solution
x = {2, 22}
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