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Simplifying 6x2 + -11x + -10 = -3x2 + 9x + 11 Reorder the terms: -10 + -11x + 6x2 = -3x2 + 9x + 11 Reorder the terms: -10 + -11x + 6x2 = 11 + 9x + -3x2 Solving -10 + -11x + 6x2 = 11 + 9x + -3x2 Solving for variable 'x'. Reorder the terms: -10 + -11 + -11x + -9x + 6x2 + 3x2 = 11 + 9x + -3x2 + -11 + -9x + 3x2 Combine like terms: -10 + -11 = -21 -21 + -11x + -9x + 6x2 + 3x2 = 11 + 9x + -3x2 + -11 + -9x + 3x2 Combine like terms: -11x + -9x = -20x -21 + -20x + 6x2 + 3x2 = 11 + 9x + -3x2 + -11 + -9x + 3x2 Combine like terms: 6x2 + 3x2 = 9x2 -21 + -20x + 9x2 = 11 + 9x + -3x2 + -11 + -9x + 3x2 Reorder the terms: -21 + -20x + 9x2 = 11 + -11 + 9x + -9x + -3x2 + 3x2 Combine like terms: 11 + -11 = 0 -21 + -20x + 9x2 = 0 + 9x + -9x + -3x2 + 3x2 -21 + -20x + 9x2 = 9x + -9x + -3x2 + 3x2 Combine like terms: 9x + -9x = 0 -21 + -20x + 9x2 = 0 + -3x2 + 3x2 -21 + -20x + 9x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -21 + -20x + 9x2 = 0 Factor a trinomial. (-7 + -9x)(3 + -1x) = 0Subproblem 1
Set the factor '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 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 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 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 = {-0.7777777778, 3}
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