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Simplifying (7x + -6)(8x + 2) = 0 Reorder the terms: (-6 + 7x)(8x + 2) = 0 Reorder the terms: (-6 + 7x)(2 + 8x) = 0 Multiply (-6 + 7x) * (2 + 8x) (-6(2 + 8x) + 7x * (2 + 8x)) = 0 ((2 * -6 + 8x * -6) + 7x * (2 + 8x)) = 0 ((-12 + -48x) + 7x * (2 + 8x)) = 0 (-12 + -48x + (2 * 7x + 8x * 7x)) = 0 (-12 + -48x + (14x + 56x2)) = 0 Combine like terms: -48x + 14x = -34x (-12 + -34x + 56x2) = 0 Solving -12 + -34x + 56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -17x + 28x2) = 0 Factor a trinomial. 2((-1 + -4x)(6 + -7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
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 = 0.8571428571Solution
x = {-0.25, 0.8571428571}
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