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Simplifying (4x + -8)(8x + 7) = 0 Reorder the terms: (-8 + 4x)(8x + 7) = 0 Reorder the terms: (-8 + 4x)(7 + 8x) = 0 Multiply (-8 + 4x) * (7 + 8x) (-8(7 + 8x) + 4x * (7 + 8x)) = 0 ((7 * -8 + 8x * -8) + 4x * (7 + 8x)) = 0 ((-56 + -64x) + 4x * (7 + 8x)) = 0 (-56 + -64x + (7 * 4x + 8x * 4x)) = 0 (-56 + -64x + (28x + 32x2)) = 0 Combine like terms: -64x + 28x = -36x (-56 + -36x + 32x2) = 0 Solving -56 + -36x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-14 + -9x + 8x2) = 0 Factor a trinomial. 4((-7 + -8x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -8x)' equal to zero and attempt to solve: Simplifying -7 + -8x = 0 Solving -7 + -8x = 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 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875Subproblem 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 = {-0.875, 2}
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