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Simplifying (8x + -1)(3x + 7) = 0 Reorder the terms: (-1 + 8x)(3x + 7) = 0 Reorder the terms: (-1 + 8x)(7 + 3x) = 0 Multiply (-1 + 8x) * (7 + 3x) (-1(7 + 3x) + 8x * (7 + 3x)) = 0 ((7 * -1 + 3x * -1) + 8x * (7 + 3x)) = 0 ((-7 + -3x) + 8x * (7 + 3x)) = 0 (-7 + -3x + (7 * 8x + 3x * 8x)) = 0 (-7 + -3x + (56x + 24x2)) = 0 Combine like terms: -3x + 56x = 53x (-7 + 53x + 24x2) = 0 Solving -7 + 53x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -3x)(1 + -8x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 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 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125Solution
x = {-2.333333333, 0.125}
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