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Simplifying (8x + -8)(7x + -3) = 0 Reorder the terms: (-8 + 8x)(7x + -3) = 0 Reorder the terms: (-8 + 8x)(-3 + 7x) = 0 Multiply (-8 + 8x) * (-3 + 7x) (-8(-3 + 7x) + 8x * (-3 + 7x)) = 0 ((-3 * -8 + 7x * -8) + 8x * (-3 + 7x)) = 0 ((24 + -56x) + 8x * (-3 + 7x)) = 0 (24 + -56x + (-3 * 8x + 7x * 8x)) = 0 (24 + -56x + (-24x + 56x2)) = 0 Combine like terms: -56x + -24x = -80x (24 + -80x + 56x2) = 0 Solving 24 + -80x + 56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(3 + -10x + 7x2) = 0 Factor a trinomial. 8((3 + -7x)(1 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.4285714286, 1}
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