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Simplifying (x + -5) * 2 = x(x + -8) + 11 Reorder the terms: (-5 + x) * 2 = x(x + -8) + 11 Reorder the terms for easier multiplication: 2(-5 + x) = x(x + -8) + 11 (-5 * 2 + x * 2) = x(x + -8) + 11 (-10 + 2x) = x(x + -8) + 11 Reorder the terms: -10 + 2x = x(-8 + x) + 11 -10 + 2x = (-8 * x + x * x) + 11 -10 + 2x = (-8x + x2) + 11 Reorder the terms: -10 + 2x = 11 + -8x + x2 Solving -10 + 2x = 11 + -8x + x2 Solving for variable 'x'. Reorder the terms: -10 + -11 + 2x + 8x + -1x2 = 11 + -8x + x2 + -11 + 8x + -1x2 Combine like terms: -10 + -11 = -21 -21 + 2x + 8x + -1x2 = 11 + -8x + x2 + -11 + 8x + -1x2 Combine like terms: 2x + 8x = 10x -21 + 10x + -1x2 = 11 + -8x + x2 + -11 + 8x + -1x2 Reorder the terms: -21 + 10x + -1x2 = 11 + -11 + -8x + 8x + x2 + -1x2 Combine like terms: 11 + -11 = 0 -21 + 10x + -1x2 = 0 + -8x + 8x + x2 + -1x2 -21 + 10x + -1x2 = -8x + 8x + x2 + -1x2 Combine like terms: -8x + 8x = 0 -21 + 10x + -1x2 = 0 + x2 + -1x2 -21 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -21 + 10x + -1x2 = 0 Factor a trinomial. (-7 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {7, 3}
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