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Simplifying (8x + -7)(x + 2) = 0 Reorder the terms: (-7 + 8x)(x + 2) = 0 Reorder the terms: (-7 + 8x)(2 + x) = 0 Multiply (-7 + 8x) * (2 + x) (-7(2 + x) + 8x * (2 + x)) = 0 ((2 * -7 + x * -7) + 8x * (2 + x)) = 0 ((-14 + -7x) + 8x * (2 + x)) = 0 (-14 + -7x + (2 * 8x + x * 8x)) = 0 (-14 + -7x + (16x + 8x2)) = 0 Combine like terms: -7x + 16x = 9x (-14 + 9x + 8x2) = 0 Solving -14 + 9x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(7 + -8x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 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 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {-2, 0.875}
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