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Simplifying 2720 = 34x2 + 68x Reorder the terms: 2720 = 68x + 34x2 Solving 2720 = 68x + 34x2 Solving for variable 'x'. Reorder the terms: 2720 + -68x + -34x2 = 68x + -68x + 34x2 + -34x2 Combine like terms: 68x + -68x = 0 2720 + -68x + -34x2 = 0 + 34x2 + -34x2 2720 + -68x + -34x2 = 34x2 + -34x2 Combine like terms: 34x2 + -34x2 = 0 2720 + -68x + -34x2 = 0 Factor out the Greatest Common Factor (GCF), '34'. 34(80 + -2x + -1x2) = 0 Factor a trinomial. 34((8 + -1x)(10 + x)) = 0 Ignore the factor 34.Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {8, -10}
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