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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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