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Simplifying -2x2 + 422x + -4400 = 0 Reorder the terms: -4400 + 422x + -2x2 = 0 Solving -4400 + 422x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2200 + 211x + -1x2) = 0 Factor a trinomial. 2((-200 + x)(11 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-200 + x)' equal to zero and attempt to solve: Simplifying -200 + x = 0 Solving -200 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + x = 0 + 200 Combine like terms: -200 + 200 = 0 0 + x = 0 + 200 x = 0 + 200 Combine like terms: 0 + 200 = 200 x = 200 Simplifying x = 200Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {200, 11}
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