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Simplifying 260015 = 1056x + -1x2 Solving 260015 = 1056x + -1x2 Solving for variable 'x'. Reorder the terms: 260015 + -1056x + x2 = 1056x + -1056x + -1x2 + x2 Combine like terms: 1056x + -1056x = 0 260015 + -1056x + x2 = 0 + -1x2 + x2 260015 + -1056x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 260015 + -1056x + x2 = 0 Factor a trinomial. (391 + -1x)(665 + -1x) = 0Subproblem 1
Set the factor '(391 + -1x)' equal to zero and attempt to solve: Simplifying 391 + -1x = 0 Solving 391 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-391' to each side of the equation. 391 + -391 + -1x = 0 + -391 Combine like terms: 391 + -391 = 0 0 + -1x = 0 + -391 -1x = 0 + -391 Combine like terms: 0 + -391 = -391 -1x = -391 Divide each side by '-1'. x = 391 Simplifying x = 391Subproblem 2
Set the factor '(665 + -1x)' equal to zero and attempt to solve: Simplifying 665 + -1x = 0 Solving 665 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-665' to each side of the equation. 665 + -665 + -1x = 0 + -665 Combine like terms: 665 + -665 = 0 0 + -1x = 0 + -665 -1x = 0 + -665 Combine like terms: 0 + -665 = -665 -1x = -665 Divide each side by '-1'. x = 665 Simplifying x = 665Solution
x = {391, 665}
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