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Simplifying (2x)(3x) + -5x + -56 = 0 Remove parenthesis around (2x) 2x(3x) + -5x + -56 = 0 Remove parenthesis around (3x) 2x * 3x + -5x + -56 = 0 Reorder the terms for easier multiplication: 2 * 3x * x + -5x + -56 = 0 Multiply 2 * 3 6x * x + -5x + -56 = 0 Multiply x * x 6x2 + -5x + -56 = 0 Reorder the terms: -56 + -5x + 6x2 = 0 Solving -56 + -5x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -3x)(7 + -2x) = 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 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-2.666666667, 3.5}
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