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Simplifying 2x2 + -268x + 5280 = 0 Reorder the terms: 5280 + -268x + 2x2 = 0 Solving 5280 + -268x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2640 + -134x + x2) = 0 Factor a trinomial. 2((24 + -1x)(110 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 2
Set the factor '(110 + -1x)' equal to zero and attempt to solve: Simplifying 110 + -1x = 0 Solving 110 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + -1x = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -1x = 0 + -110 -1x = 0 + -110 Combine like terms: 0 + -110 = -110 -1x = -110 Divide each side by '-1'. x = 110 Simplifying x = 110Solution
x = {24, 110}
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