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Simplifying 2x2 + -260x + 6650 = 0 Reorder the terms: 6650 + -260x + 2x2 = 0 Solving 6650 + -260x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(3325 + -130x + x2) = 0 Factor a trinomial. 2((35 + -1x)(95 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = 35Subproblem 2
Set the factor '(95 + -1x)' equal to zero and attempt to solve: Simplifying 95 + -1x = 0 Solving 95 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1x = 0 + -95 -1x = 0 + -95 Combine like terms: 0 + -95 = -95 -1x = -95 Divide each side by '-1'. x = 95 Simplifying x = 95Solution
x = {35, 95}
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