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Simplifying X(X + -25) = 306 Reorder the terms: X(-25 + X) = 306 (-25 * X + X * X) = 306 (-25X + X2) = 306 Solving -25X + X2 = 306 Solving for variable 'X'. Reorder the terms: -306 + -25X + X2 = 306 + -306 Combine like terms: 306 + -306 = 0 -306 + -25X + X2 = 0 Factor a trinomial. (-9 + -1X)(34 + -1X) = 0Subproblem 1
Set the factor '(-9 + -1X)' equal to zero and attempt to solve: Simplifying -9 + -1X = 0 Solving -9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1X = 0 + 9 -1X = 0 + 9 Combine like terms: 0 + 9 = 9 -1X = 9 Divide each side by '-1'. X = -9 Simplifying X = -9Subproblem 2
Set the factor '(34 + -1X)' equal to zero and attempt to solve: Simplifying 34 + -1X = 0 Solving 34 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -1X = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -1X = 0 + -34 -1X = 0 + -34 Combine like terms: 0 + -34 = -34 -1X = -34 Divide each side by '-1'. X = 34 Simplifying X = 34Solution
X = {-9, 34}
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