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Simplifying 3x2 + 29x + -424 = 0 Reorder the terms: -424 + 29x + 3x2 = 0 Solving -424 + 29x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-53 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(-53 + -3x)' equal to zero and attempt to solve: Simplifying -53 + -3x = 0 Solving -53 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -3x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + -3x = 0 + 53 -3x = 0 + 53 Combine like terms: 0 + 53 = 53 -3x = 53 Divide each side by '-3'. x = -17.66666667 Simplifying x = -17.66666667Subproblem 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 = {-17.66666667, 8}
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