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Simplifying (5 + -1x)(4 + -8x) = 0 Multiply (5 + -1x) * (4 + -8x) (5(4 + -8x) + -1x * (4 + -8x)) = 0 ((4 * 5 + -8x * 5) + -1x * (4 + -8x)) = 0 ((20 + -40x) + -1x * (4 + -8x)) = 0 (20 + -40x + (4 * -1x + -8x * -1x)) = 0 (20 + -40x + (-4x + 8x2)) = 0 Combine like terms: -40x + -4x = -44x (20 + -44x + 8x2) = 0 Solving 20 + -44x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(5 + -11x + 2x2) = 0 Factor a trinomial. 4((1 + -2x)(5 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.5, 5}
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