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Simplifying -2x2 + 43x + -230 = 0 Reorder the terms: -230 + 43x + -2x2 = 0 Solving -230 + 43x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + 2x)(10 + -1x) = 0Subproblem 1
Set the factor '(-23 + 2x)' equal to zero and attempt to solve: Simplifying -23 + 2x = 0 Solving -23 + 2x = 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 + 2x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = 0 + 23 2x = 0 + 23 Combine like terms: 0 + 23 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {11.5, 10}
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