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Simplifying 36x2 + 75x + -56 = 0 Reorder the terms: -56 + 75x + 36x2 = 0 Solving -56 + 75x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -3x)(7 + -12x) = 0Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
Set the factor '(7 + -12x)' equal to zero and attempt to solve: Simplifying 7 + -12x = 0 Solving 7 + -12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -12x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 0 + -7 -12x = 0 + -7 Combine like terms: 0 + -7 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333Solution
x = {-2.666666667, 0.5833333333}
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