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Simplifying 6x2 = -10x + 56 Reorder the terms: 6x2 = 56 + -10x Solving 6x2 = 56 + -10x Solving for variable 'x'. Reorder the terms: -56 + 10x + 6x2 = 56 + -10x + -56 + 10x Reorder the terms: -56 + 10x + 6x2 = 56 + -56 + -10x + 10x Combine like terms: 56 + -56 = 0 -56 + 10x + 6x2 = 0 + -10x + 10x -56 + 10x + 6x2 = -10x + 10x Combine like terms: -10x + 10x = 0 -56 + 10x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + 5x + 3x2) = 0 Factor a trinomial. 2((-4 + -1x)(7 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 2.333333333}
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