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Simplifying 6x2 = 11x + 10 Reorder the terms: 6x2 = 10 + 11x Solving 6x2 = 10 + 11x Solving for variable 'x'. Reorder the terms: -10 + -11x + 6x2 = 10 + 11x + -10 + -11x Reorder the terms: -10 + -11x + 6x2 = 10 + -10 + 11x + -11x Combine like terms: 10 + -10 = 0 -10 + -11x + 6x2 = 0 + 11x + -11x -10 + -11x + 6x2 = 11x + -11x Combine like terms: 11x + -11x = 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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