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Simplifying (7x + -1)(x + 8) = 0 Reorder the terms: (-1 + 7x)(x + 8) = 0 Reorder the terms: (-1 + 7x)(8 + x) = 0 Multiply (-1 + 7x) * (8 + x) (-1(8 + x) + 7x * (8 + x)) = 0 ((8 * -1 + x * -1) + 7x * (8 + x)) = 0 ((-8 + -1x) + 7x * (8 + x)) = 0 (-8 + -1x + (8 * 7x + x * 7x)) = 0 (-8 + -1x + (56x + 7x2)) = 0 Combine like terms: -1x + 56x = 55x (-8 + 55x + 7x2) = 0 Solving -8 + 55x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(1 + -7x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {-8, 0.1428571429}
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