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Simplifying x(5x + 11) = 2x2 + -2x + 56 Reorder the terms: x(11 + 5x) = 2x2 + -2x + 56 (11 * x + 5x * x) = 2x2 + -2x + 56 (11x + 5x2) = 2x2 + -2x + 56 Reorder the terms: 11x + 5x2 = 56 + -2x + 2x2 Solving 11x + 5x2 = 56 + -2x + 2x2 Solving for variable 'x'. Reorder the terms: -56 + 11x + 2x + 5x2 + -2x2 = 56 + -2x + 2x2 + -56 + 2x + -2x2 Combine like terms: 11x + 2x = 13x -56 + 13x + 5x2 + -2x2 = 56 + -2x + 2x2 + -56 + 2x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 -56 + 13x + 3x2 = 56 + -2x + 2x2 + -56 + 2x + -2x2 Reorder the terms: -56 + 13x + 3x2 = 56 + -56 + -2x + 2x + 2x2 + -2x2 Combine like terms: 56 + -56 = 0 -56 + 13x + 3x2 = 0 + -2x + 2x + 2x2 + -2x2 -56 + 13x + 3x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 -56 + 13x + 3x2 = 0 + 2x2 + -2x2 -56 + 13x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -56 + 13x + 3x2 = 0 Factor a trinomial. (-7 + -1x)(8 + -3x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-7, 2.666666667}
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