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Simplifying 209951 = 960x + -1x2 Solving 209951 = 960x + -1x2 Solving for variable 'x'. Reorder the terms: 209951 + -960x + x2 = 960x + -960x + -1x2 + x2 Combine like terms: 960x + -960x = 0 209951 + -960x + x2 = 0 + -1x2 + x2 209951 + -960x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 209951 + -960x + x2 = 0 Factor a trinomial. (337 + -1x)(623 + -1x) = 0Subproblem 1
Set the factor '(337 + -1x)' equal to zero and attempt to solve: Simplifying 337 + -1x = 0 Solving 337 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-337' to each side of the equation. 337 + -337 + -1x = 0 + -337 Combine like terms: 337 + -337 = 0 0 + -1x = 0 + -337 -1x = 0 + -337 Combine like terms: 0 + -337 = -337 -1x = -337 Divide each side by '-1'. x = 337 Simplifying x = 337Subproblem 2
Set the factor '(623 + -1x)' equal to zero and attempt to solve: Simplifying 623 + -1x = 0 Solving 623 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-623' to each side of the equation. 623 + -623 + -1x = 0 + -623 Combine like terms: 623 + -623 = 0 0 + -1x = 0 + -623 -1x = 0 + -623 Combine like terms: 0 + -623 = -623 -1x = -623 Divide each side by '-1'. x = 623 Simplifying x = 623Solution
x = {337, 623}
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