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Simplifying 2x2 + -55x + -200 = -8x2 Reorder the terms: -200 + -55x + 2x2 = -8x2 Solving -200 + -55x + 2x2 = -8x2 Solving for variable 'x'. Combine like terms: 2x2 + 8x2 = 10x2 -200 + -55x + 10x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 -200 + -55x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-40 + -11x + 2x2) = 0 Factor a trinomial. 5((-5 + -2x)(8 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-2.5, 8}
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