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Simplifying -4x2 + -108x + -200 = 0 Reorder the terms: -200 + -108x + -4x2 = 0 Solving -200 + -108x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4'. -4(50 + 27x + x2) = 0 Factor a trinomial. -4((25 + x)(2 + x)) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-25, -2}
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