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Simplifying 2x2 + -68x = -546 Reorder the terms: -68x + 2x2 = -546 Solving -68x + 2x2 = -546 Solving for variable 'x'. Reorder the terms: 546 + -68x + 2x2 = -546 + 546 Combine like terms: -546 + 546 = 0 546 + -68x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(273 + -34x + x2) = 0 Factor a trinomial. 2((13 + -1x)(21 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Solution
x = {13, 21}
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