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Simplifying (x + -8)(3x + 7) = 0 Reorder the terms: (-8 + x)(3x + 7) = 0 Reorder the terms: (-8 + x)(7 + 3x) = 0 Multiply (-8 + x) * (7 + 3x) (-8(7 + 3x) + x(7 + 3x)) = 0 ((7 * -8 + 3x * -8) + x(7 + 3x)) = 0 ((-56 + -24x) + x(7 + 3x)) = 0 (-56 + -24x + (7 * x + 3x * x)) = 0 (-56 + -24x + (7x + 3x2)) = 0 Combine like terms: -24x + 7x = -17x (-56 + -17x + 3x2) = 0 Solving -56 + -17x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
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 = 8Solution
x = {-2.333333333, 8}
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