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Simplifying 0 = 6x2 + -10x + -56 Reorder the terms: 0 = -56 + -10x + 6x2 Solving 0 = -56 + -10x + 6x2 Solving for variable 'x'. Combine like terms: 0 + 56 = 56 56 + 10x + -6x2 = -56 + -10x + 6x2 + 56 + 10x + -6x2 Reorder the terms: 56 + 10x + -6x2 = -56 + 56 + -10x + 10x + 6x2 + -6x2 Combine like terms: -56 + 56 = 0 56 + 10x + -6x2 = 0 + -10x + 10x + 6x2 + -6x2 56 + 10x + -6x2 = -10x + 10x + 6x2 + -6x2 Combine like terms: -10x + 10x = 0 56 + 10x + -6x2 = 0 + 6x2 + -6x2 56 + 10x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 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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