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Simplifying -24 = -4x2 + -29x Reorder the terms: -24 = -29x + -4x2 Solving -24 = -29x + -4x2 Solving for variable 'x'. Reorder the terms: -24 + 29x + 4x2 = -29x + 29x + -4x2 + 4x2 Combine like terms: -29x + 29x = 0 -24 + 29x + 4x2 = 0 + -4x2 + 4x2 -24 + 29x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -24 + 29x + 4x2 = 0 Factor a trinomial. (-8 + -1x)(3 + -4x) = 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 '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-8, 0.75}
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