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Simplifying 2x2 + -10x + -2100 = 0 Reorder the terms: -2100 + -10x + 2x2 = 0 Solving -2100 + -10x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1050 + -5x + x2) = 0 Factor a trinomial. 2((-30 + -1x)(35 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve: Simplifying 35 + -1x = 0 Solving 35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 0 + -35 -1x = 0 + -35 Combine like terms: 0 + -35 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35Solution
x = {-30, 35}
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