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Simplifying 11x2 + -6x + -3 = 2x2 + -4 Reorder the terms: -3 + -6x + 11x2 = 2x2 + -4 Reorder the terms: -3 + -6x + 11x2 = -4 + 2x2 Solving -3 + -6x + 11x2 = -4 + 2x2 Solving for variable 'x'. Reorder the terms: -3 + 4 + -6x + 11x2 + -2x2 = -4 + 2x2 + 4 + -2x2 Combine like terms: -3 + 4 = 1 1 + -6x + 11x2 + -2x2 = -4 + 2x2 + 4 + -2x2 Combine like terms: 11x2 + -2x2 = 9x2 1 + -6x + 9x2 = -4 + 2x2 + 4 + -2x2 Reorder the terms: 1 + -6x + 9x2 = -4 + 4 + 2x2 + -2x2 Combine like terms: -4 + 4 = 0 1 + -6x + 9x2 = 0 + 2x2 + -2x2 1 + -6x + 9x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1 + -6x + 9x2 = 0 Factor a trinomial. (1 + -3x)(1 + -3x) = 0Subproblem 1
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 = 0.3333333333Subproblem 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 = {0.3333333333, 0.3333333333}
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