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Simplifying (3 + -8x)(8x + -8) = 0 Reorder the terms: (3 + -8x)(-8 + 8x) = 0 Multiply (3 + -8x) * (-8 + 8x) (3(-8 + 8x) + -8x * (-8 + 8x)) = 0 ((-8 * 3 + 8x * 3) + -8x * (-8 + 8x)) = 0 ((-24 + 24x) + -8x * (-8 + 8x)) = 0 (-24 + 24x + (-8 * -8x + 8x * -8x)) = 0 (-24 + 24x + (64x + -64x2)) = 0 Combine like terms: 24x + 64x = 88x (-24 + 88x + -64x2) = 0 Solving -24 + 88x + -64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-3 + 11x + -8x2) = 0 Factor a trinomial. 8((-1 + x)(3 + -8x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solution
x = {1, 0.375}
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