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Simplifying (2x + -8)(7x + 6) = 0 Reorder the terms: (-8 + 2x)(7x + 6) = 0 Reorder the terms: (-8 + 2x)(6 + 7x) = 0 Multiply (-8 + 2x) * (6 + 7x) (-8(6 + 7x) + 2x * (6 + 7x)) = 0 ((6 * -8 + 7x * -8) + 2x * (6 + 7x)) = 0 ((-48 + -56x) + 2x * (6 + 7x)) = 0 (-48 + -56x + (6 * 2x + 7x * 2x)) = 0 (-48 + -56x + (12x + 14x2)) = 0 Combine like terms: -56x + 12x = -44x (-48 + -44x + 14x2) = 0 Solving -48 + -44x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + -22x + 7x2) = 0 Factor a trinomial. 2((-6 + -7x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -7x)' equal to zero and attempt to solve: Simplifying -6 + -7x = 0 Solving -6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 0 + 6 -7x = 0 + 6 Combine like terms: 0 + 6 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571Subproblem 2
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 = 4Solution
x = {-0.8571428571, 4}
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