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Simplifying (4x + -6)(8 + -1x) = 0 Reorder the terms: (-6 + 4x)(8 + -1x) = 0 Multiply (-6 + 4x) * (8 + -1x) (-6(8 + -1x) + 4x * (8 + -1x)) = 0 ((8 * -6 + -1x * -6) + 4x * (8 + -1x)) = 0 ((-48 + 6x) + 4x * (8 + -1x)) = 0 (-48 + 6x + (8 * 4x + -1x * 4x)) = 0 (-48 + 6x + (32x + -4x2)) = 0 Combine like terms: 6x + 32x = 38x (-48 + 38x + -4x2) = 0 Solving -48 + 38x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 19x + -2x2) = 0 Factor a trinomial. 2((-8 + x)(3 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {8, 1.5}
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