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Simplifying (8x + 1)(x + -7) = 0 Reorder the terms: (1 + 8x)(x + -7) = 0 Reorder the terms: (1 + 8x)(-7 + x) = 0 Multiply (1 + 8x) * (-7 + x) (1(-7 + x) + 8x * (-7 + x)) = 0 ((-7 * 1 + x * 1) + 8x * (-7 + x)) = 0 ((-7 + 1x) + 8x * (-7 + x)) = 0 (-7 + 1x + (-7 * 8x + x * 8x)) = 0 (-7 + 1x + (-56x + 8x2)) = 0 Combine like terms: 1x + -56x = -55x (-7 + -55x + 8x2) = 0 Solving -7 + -55x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -8x)(7 + -1x) = 0Subproblem 1
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 = -0.125Subproblem 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 = {-0.125, 7}
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