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Simplifying (7 + -1x)(4 + -8x) = 0 Multiply (7 + -1x) * (4 + -8x) (7(4 + -8x) + -1x * (4 + -8x)) = 0 ((4 * 7 + -8x * 7) + -1x * (4 + -8x)) = 0 ((28 + -56x) + -1x * (4 + -8x)) = 0 (28 + -56x + (4 * -1x + -8x * -1x)) = 0 (28 + -56x + (-4x + 8x2)) = 0 Combine like terms: -56x + -4x = -60x (28 + -60x + 8x2) = 0 Solving 28 + -60x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(7 + -15x + 2x2) = 0 Factor a trinomial. 4((1 + -2x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0.5, 7}
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