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Simplifying 29x2 + 5x + -24 = 0 Reorder the terms: -24 + 5x + 29x2 = 0 Solving -24 + 5x + 29x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(24 + -29x) = 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 '(24 + -29x)' equal to zero and attempt to solve: Simplifying 24 + -29x = 0 Solving 24 + -29x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -29x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -29x = 0 + -24 -29x = 0 + -24 Combine like terms: 0 + -24 = -24 -29x = -24 Divide each side by '-29'. x = 0.8275862069 Simplifying x = 0.8275862069Solution
x = {-1, 0.8275862069}
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