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Simplifying (x + 8)(x + -122) = 0 Reorder the terms: (8 + x)(x + -122) = 0 Reorder the terms: (8 + x)(-122 + x) = 0 Multiply (8 + x) * (-122 + x) (8(-122 + x) + x(-122 + x)) = 0 ((-122 * 8 + x * 8) + x(-122 + x)) = 0 ((-976 + 8x) + x(-122 + x)) = 0 (-976 + 8x + (-122 * x + x * x)) = 0 (-976 + 8x + (-122x + x2)) = 0 Combine like terms: 8x + -122x = -114x (-976 + -114x + x2) = 0 Solving -976 + -114x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(122 + -1x) = 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 '(122 + -1x)' equal to zero and attempt to solve: Simplifying 122 + -1x = 0 Solving 122 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-122' to each side of the equation. 122 + -122 + -1x = 0 + -122 Combine like terms: 122 + -122 = 0 0 + -1x = 0 + -122 -1x = 0 + -122 Combine like terms: 0 + -122 = -122 -1x = -122 Divide each side by '-1'. x = 122 Simplifying x = 122Solution
x = {-8, 122}
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