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Simplifying x2 + -20x + 40 = -5x + -4 Reorder the terms: 40 + -20x + x2 = -5x + -4 Reorder the terms: 40 + -20x + x2 = -4 + -5x Solving 40 + -20x + x2 = -4 + -5x Solving for variable 'x'. Reorder the terms: 40 + 4 + -20x + 5x + x2 = -4 + -5x + 4 + 5x Combine like terms: 40 + 4 = 44 44 + -20x + 5x + x2 = -4 + -5x + 4 + 5x Combine like terms: -20x + 5x = -15x 44 + -15x + x2 = -4 + -5x + 4 + 5x Reorder the terms: 44 + -15x + x2 = -4 + 4 + -5x + 5x Combine like terms: -4 + 4 = 0 44 + -15x + x2 = 0 + -5x + 5x 44 + -15x + x2 = -5x + 5x Combine like terms: -5x + 5x = 0 44 + -15x + x2 = 0 Factor a trinomial. (4 + -1x)(11 + -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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {4, 11}
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