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Simplifying 3x2 = 56 + -17x Solving 3x2 = 56 + -17x Solving for variable 'x'. Reorder the terms: -56 + 17x + 3x2 = 56 + -17x + -56 + 17x Reorder the terms: -56 + 17x + 3x2 = 56 + -56 + -17x + 17x Combine like terms: 56 + -56 = 0 -56 + 17x + 3x2 = 0 + -17x + 17x -56 + 17x + 3x2 = -17x + 17x Combine like terms: -17x + 17x = 0 -56 + 17x + 3x2 = 0 Factor a trinomial. (-8 + -1x)(7 + -3x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 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 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {-8, 2.333333333}
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