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Simplifying 5x2 + 13x + -46 = 0 Reorder the terms: -46 + 13x + 5x2 = 0 Solving -46 + 13x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(-23 + -5x)' equal to zero and attempt to solve: Simplifying -23 + -5x = 0 Solving -23 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -5x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = 0 + 23 -5x = 0 + 23 Combine like terms: 0 + 23 = 23 -5x = 23 Divide each side by '-5'. x = -4.6 Simplifying x = -4.6Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-4.6, 2}
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