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Simplifying 6x2 = 5x + 6 Reorder the terms: 6x2 = 6 + 5x Solving 6x2 = 6 + 5x Solving for variable 'x'. Reorder the terms: -6 + -5x + 6x2 = 6 + 5x + -6 + -5x Reorder the terms: -6 + -5x + 6x2 = 6 + -6 + 5x + -5x Combine like terms: 6 + -6 = 0 -6 + -5x + 6x2 = 0 + 5x + -5x -6 + -5x + 6x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -5x + 6x2 = 0 Factor a trinomial. (-2 + -3x)(3 + -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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-0.6666666667, 1.5}
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