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Simplifying 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. (-5 + -2x)(2 + -3x) = 0Subproblem 1
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 = -2.5Subproblem 2
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 = 0.6666666667Solution
x = {-2.5, 0.6666666667}
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