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Simplifying 254271 = 1040x + -1x2 Solving 254271 = 1040x + -1x2 Solving for variable 'x'. Reorder the terms: 254271 + -1040x + x2 = 1040x + -1040x + -1x2 + x2 Combine like terms: 1040x + -1040x = 0 254271 + -1040x + x2 = 0 + -1x2 + x2 254271 + -1040x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 254271 + -1040x + x2 = 0 Factor a trinomial. (393 + -1x)(647 + -1x) = 0Subproblem 1
Set the factor '(393 + -1x)' equal to zero and attempt to solve: Simplifying 393 + -1x = 0 Solving 393 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-393' to each side of the equation. 393 + -393 + -1x = 0 + -393 Combine like terms: 393 + -393 = 0 0 + -1x = 0 + -393 -1x = 0 + -393 Combine like terms: 0 + -393 = -393 -1x = -393 Divide each side by '-1'. x = 393 Simplifying x = 393Subproblem 2
Set the factor '(647 + -1x)' equal to zero and attempt to solve: Simplifying 647 + -1x = 0 Solving 647 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-647' to each side of the equation. 647 + -647 + -1x = 0 + -647 Combine like terms: 647 + -647 = 0 0 + -1x = 0 + -647 -1x = 0 + -647 Combine like terms: 0 + -647 = -647 -1x = -647 Divide each side by '-1'. x = 647 Simplifying x = 647Solution
x = {393, 647}
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