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Simplifying (4x + -8)(7x + 6) = 0 Reorder the terms: (-8 + 4x)(7x + 6) = 0 Reorder the terms: (-8 + 4x)(6 + 7x) = 0 Multiply (-8 + 4x) * (6 + 7x) (-8(6 + 7x) + 4x * (6 + 7x)) = 0 ((6 * -8 + 7x * -8) + 4x * (6 + 7x)) = 0 ((-48 + -56x) + 4x * (6 + 7x)) = 0 (-48 + -56x + (6 * 4x + 7x * 4x)) = 0 (-48 + -56x + (24x + 28x2)) = 0 Combine like terms: -56x + 24x = -32x (-48 + -32x + 28x2) = 0 Solving -48 + -32x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + -8x + 7x2) = 0 Factor a trinomial. 4((-6 + -7x)(2 + -1x)) = 0 Ignore the factor 4.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.8571428571, 2}
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