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Simplifying 2x2 + 2x = 1300 Reorder the terms: 2x + 2x2 = 1300 Solving 2x + 2x2 = 1300 Solving for variable 'x'. Reorder the terms: -1300 + 2x + 2x2 = 1300 + -1300 Combine like terms: 1300 + -1300 = 0 -1300 + 2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-650 + x + x2) = 0 Factor a trinomial. 2((-26 + -1x)(25 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve: Simplifying -26 + -1x = 0 Solving -26 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -1x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -1x = 0 + 26 -1x = 0 + 26 Combine like terms: 0 + 26 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 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 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {-26, 25}
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