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Simplifying 5x2 + 3x + -432 = 0 Reorder the terms: -432 + 3x + 5x2 = 0 Solving -432 + 3x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-48 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(-48 + -5x)' equal to zero and attempt to solve: Simplifying -48 + -5x = 0 Solving -48 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -5x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -5x = 0 + 48 -5x = 0 + 48 Combine like terms: 0 + 48 = 48 -5x = 48 Divide each side by '-5'. x = -9.6 Simplifying x = -9.6Subproblem 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 = {-9.6, 9}
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