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Simplifying 5x2 + -6x + -351 = 0 Reorder the terms: -351 + -6x + 5x2 = 0 Solving -351 + -6x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-39 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(-39 + -5x)' equal to zero and attempt to solve: Simplifying -39 + -5x = 0 Solving -39 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -5x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -5x = 0 + 39 -5x = 0 + 39 Combine like terms: 0 + 39 = 39 -5x = 39 Divide each side by '-5'. x = -7.8 Simplifying x = -7.8Subproblem 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 = {-7.8, 9}
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