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Simplifying 2x2 + 400x + -4200 = 0 Reorder the terms: -4200 + 400x + 2x2 = 0 Solving -4200 + 400x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2100 + 200x + x2) = 0 Factor a trinomial. 2((-210 + -1x)(10 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-210 + -1x)' equal to zero and attempt to solve: Simplifying -210 + -1x = 0 Solving -210 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '210' to each side of the equation. -210 + 210 + -1x = 0 + 210 Combine like terms: -210 + 210 = 0 0 + -1x = 0 + 210 -1x = 0 + 210 Combine like terms: 0 + 210 = 210 -1x = 210 Divide each side by '-1'. x = -210 Simplifying x = -210Subproblem 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 = {-210, 10}
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