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Simplifying 11x2 + -6x + -5 = 5x2 + 5x + 5 Reorder the terms: -5 + -6x + 11x2 = 5x2 + 5x + 5 Reorder the terms: -5 + -6x + 11x2 = 5 + 5x + 5x2 Solving -5 + -6x + 11x2 = 5 + 5x + 5x2 Solving for variable 'x'. Reorder the terms: -5 + -5 + -6x + -5x + 11x2 + -5x2 = 5 + 5x + 5x2 + -5 + -5x + -5x2 Combine like terms: -5 + -5 = -10 -10 + -6x + -5x + 11x2 + -5x2 = 5 + 5x + 5x2 + -5 + -5x + -5x2 Combine like terms: -6x + -5x = -11x -10 + -11x + 11x2 + -5x2 = 5 + 5x + 5x2 + -5 + -5x + -5x2 Combine like terms: 11x2 + -5x2 = 6x2 -10 + -11x + 6x2 = 5 + 5x + 5x2 + -5 + -5x + -5x2 Reorder the terms: -10 + -11x + 6x2 = 5 + -5 + 5x + -5x + 5x2 + -5x2 Combine like terms: 5 + -5 = 0 -10 + -11x + 6x2 = 0 + 5x + -5x + 5x2 + -5x2 -10 + -11x + 6x2 = 5x + -5x + 5x2 + -5x2 Combine like terms: 5x + -5x = 0 -10 + -11x + 6x2 = 0 + 5x2 + -5x2 -10 + -11x + 6x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -10 + -11x + 6x2 = 0 Factor a trinomial. (-2 + -3x)(5 + -2x) = 0Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-0.6666666667, 2.5}
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