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Simplifying 2x2 = 30 + -11x Solving 2x2 = 30 + -11x Solving for variable 'x'. Reorder the terms: -30 + 11x + 2x2 = 30 + -11x + -30 + 11x Reorder the terms: -30 + 11x + 2x2 = 30 + -30 + -11x + 11x Combine like terms: 30 + -30 = 0 -30 + 11x + 2x2 = 0 + -11x + 11x -30 + 11x + 2x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -30 + 11x + 2x2 = 0 Factor a trinomial. (-15 + -2x)(2 + -1x) = 0Subproblem 1
Set the factor '(-15 + -2x)' equal to zero and attempt to solve: Simplifying -15 + -2x = 0 Solving -15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 0 + 15 -2x = 0 + 15 Combine like terms: 0 + 15 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-7.5, 2}
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