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Simplifying X(260 + -2X) = 6992 (260 * X + -2X * X) = 6992 (260X + -2X2) = 6992 Solving 260X + -2X2 = 6992 Solving for variable 'X'. Reorder the terms: -6992 + 260X + -2X2 = 6992 + -6992 Combine like terms: 6992 + -6992 = 0 -6992 + 260X + -2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3496 + 130X + -1X2) = 0 Factor a trinomial. 2((-92 + X)(38 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-92 + X)' equal to zero and attempt to solve: Simplifying -92 + X = 0 Solving -92 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '92' to each side of the equation. -92 + 92 + X = 0 + 92 Combine like terms: -92 + 92 = 0 0 + X = 0 + 92 X = 0 + 92 Combine like terms: 0 + 92 = 92 X = 92 Simplifying X = 92Subproblem 2
Set the factor '(38 + -1X)' equal to zero and attempt to solve: Simplifying 38 + -1X = 0 Solving 38 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -1X = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1X = 0 + -38 -1X = 0 + -38 Combine like terms: 0 + -38 = -38 -1X = -38 Divide each side by '-1'. X = 38 Simplifying X = 38Solution
X = {92, 38}
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