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Simplifying 2x2 + 29x + -423 = 0 Reorder the terms: -423 + 29x + 2x2 = 0 Solving -423 + 29x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-47 + -2x)(9 + -1x) = 0Subproblem 1
Set the factor '(-47 + -2x)' equal to zero and attempt to solve: Simplifying -47 + -2x = 0 Solving -47 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -2x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -2x = 0 + 47 -2x = 0 + 47 Combine like terms: 0 + 47 = 47 -2x = 47 Divide each side by '-2'. x = -23.5 Simplifying x = -23.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-23.5, 9}
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