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Simplifying 6x2 + 91x + -150 = 0 Reorder the terms: -150 + 91x + 6x2 = 0 Solving -150 + 91x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-50 + -3x)(3 + -2x) = 0Subproblem 1
Set the factor '(-50 + -3x)' equal to zero and attempt to solve: Simplifying -50 + -3x = 0 Solving -50 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -3x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -3x = 0 + 50 -3x = 0 + 50 Combine like terms: 0 + 50 = 50 -3x = 50 Divide each side by '-3'. x = -16.66666667 Simplifying x = -16.66666667Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-16.66666667, 1.5}
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