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Simplifying (7x + -8)(x + 1) = 0 Reorder the terms: (-8 + 7x)(x + 1) = 0 Reorder the terms: (-8 + 7x)(1 + x) = 0 Multiply (-8 + 7x) * (1 + x) (-8(1 + x) + 7x * (1 + x)) = 0 ((1 * -8 + x * -8) + 7x * (1 + x)) = 0 ((-8 + -8x) + 7x * (1 + x)) = 0 (-8 + -8x + (1 * 7x + x * 7x)) = 0 (-8 + -8x + (7x + 7x2)) = 0 Combine like terms: -8x + 7x = -1x (-8 + -1x + 7x2) = 0 Solving -8 + -1x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(8 + -7x) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 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 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-1, 1.142857143}
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