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Simplifying 13x2 + 11x + -9 = 4x2 + -1x + -4 Reorder the terms: -9 + 11x + 13x2 = 4x2 + -1x + -4 Reorder the terms: -9 + 11x + 13x2 = -4 + -1x + 4x2 Solving -9 + 11x + 13x2 = -4 + -1x + 4x2 Solving for variable 'x'. Reorder the terms: -9 + 4 + 11x + x + 13x2 + -4x2 = -4 + -1x + 4x2 + 4 + x + -4x2 Combine like terms: -9 + 4 = -5 -5 + 11x + x + 13x2 + -4x2 = -4 + -1x + 4x2 + 4 + x + -4x2 Combine like terms: 11x + x = 12x -5 + 12x + 13x2 + -4x2 = -4 + -1x + 4x2 + 4 + x + -4x2 Combine like terms: 13x2 + -4x2 = 9x2 -5 + 12x + 9x2 = -4 + -1x + 4x2 + 4 + x + -4x2 Reorder the terms: -5 + 12x + 9x2 = -4 + 4 + -1x + x + 4x2 + -4x2 Combine like terms: -4 + 4 = 0 -5 + 12x + 9x2 = 0 + -1x + x + 4x2 + -4x2 -5 + 12x + 9x2 = -1x + x + 4x2 + -4x2 Combine like terms: -1x + x = 0 -5 + 12x + 9x2 = 0 + 4x2 + -4x2 -5 + 12x + 9x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -5 + 12x + 9x2 = 0 Factor a trinomial. (-5 + -3x)(1 + -3x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {-1.666666667, 0.3333333333}
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