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Simplifying 0 = 5x2 + 11x + -12 Reorder the terms: 0 = -12 + 11x + 5x2 Solving 0 = -12 + 11x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 12 = 12 12 + -11x + -5x2 = -12 + 11x + 5x2 + 12 + -11x + -5x2 Reorder the terms: 12 + -11x + -5x2 = -12 + 12 + 11x + -11x + 5x2 + -5x2 Combine like terms: -12 + 12 = 0 12 + -11x + -5x2 = 0 + 11x + -11x + 5x2 + -5x2 12 + -11x + -5x2 = 11x + -11x + 5x2 + -5x2 Combine like terms: 11x + -11x = 0 12 + -11x + -5x2 = 0 + 5x2 + -5x2 12 + -11x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 12 + -11x + -5x2 = 0 Factor a trinomial. (4 + -5x)(3 + x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0.8, -3}
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