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Simplifying 8x2 + -23x + -220 = 0 Reorder the terms: -220 + -23x + 8x2 = 0 Solving -220 + -23x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(55 + -8x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(55 + -8x)' equal to zero and attempt to solve: Simplifying 55 + -8x = 0 Solving 55 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -8x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -8x = 0 + -55 -8x = 0 + -55 Combine like terms: 0 + -55 = -55 -8x = -55 Divide each side by '-8'. x = 6.875 Simplifying x = 6.875Solution
x = {-4, 6.875}
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