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Simplifying (8 + -4x)(3 + -8x) = 0 Multiply (8 + -4x) * (3 + -8x) (8(3 + -8x) + -4x * (3 + -8x)) = 0 ((3 * 8 + -8x * 8) + -4x * (3 + -8x)) = 0 ((24 + -64x) + -4x * (3 + -8x)) = 0 (24 + -64x + (3 * -4x + -8x * -4x)) = 0 (24 + -64x + (-12x + 32x2)) = 0 Combine like terms: -64x + -12x = -76x (24 + -76x + 32x2) = 0 Solving 24 + -76x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(6 + -19x + 8x2) = 0 Factor a trinomial. 4((3 + -8x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
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 = 0.375Subproblem 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 = {0.375, 2}
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