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Simplifying 201825 = 946X + -1X2 Solving 201825 = 946X + -1X2 Solving for variable 'X'. Reorder the terms: 201825 + -946X + X2 = 946X + -946X + -1X2 + X2 Combine like terms: 946X + -946X = 0 201825 + -946X + X2 = 0 + -1X2 + X2 201825 + -946X + X2 = -1X2 + X2 Combine like terms: -1X2 + X2 = 0 201825 + -946X + X2 = 0 Factor a trinomial. (325 + -1X)(621 + -1X) = 0Subproblem 1
Set the factor '(325 + -1X)' equal to zero and attempt to solve: Simplifying 325 + -1X = 0 Solving 325 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-325' to each side of the equation. 325 + -325 + -1X = 0 + -325 Combine like terms: 325 + -325 = 0 0 + -1X = 0 + -325 -1X = 0 + -325 Combine like terms: 0 + -325 = -325 -1X = -325 Divide each side by '-1'. X = 325 Simplifying X = 325Subproblem 2
Set the factor '(621 + -1X)' equal to zero and attempt to solve: Simplifying 621 + -1X = 0 Solving 621 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-621' to each side of the equation. 621 + -621 + -1X = 0 + -621 Combine like terms: 621 + -621 = 0 0 + -1X = 0 + -621 -1X = 0 + -621 Combine like terms: 0 + -621 = -621 -1X = -621 Divide each side by '-1'. X = 621 Simplifying X = 621Solution
X = {325, 621}
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