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Simplifying X(X + 25) = 5100 Reorder the terms: X(25 + X) = 5100 (25 * X + X * X) = 5100 (25X + X2) = 5100 Solving 25X + X2 = 5100 Solving for variable 'X'. Reorder the terms: -5100 + 25X + X2 = 5100 + -5100 Combine like terms: 5100 + -5100 = 0 -5100 + 25X + X2 = 0 Factor a trinomial. (-85 + -1X)(60 + -1X) = 0Subproblem 1
Set the factor '(-85 + -1X)' equal to zero and attempt to solve: Simplifying -85 + -1X = 0 Solving -85 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -1X = 0 + 85 Combine like terms: -85 + 85 = 0 0 + -1X = 0 + 85 -1X = 0 + 85 Combine like terms: 0 + 85 = 85 -1X = 85 Divide each side by '-1'. X = -85 Simplifying X = -85Subproblem 2
Set the factor '(60 + -1X)' equal to zero and attempt to solve: Simplifying 60 + -1X = 0 Solving 60 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1X = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1X = 0 + -60 -1X = 0 + -60 Combine like terms: 0 + -60 = -60 -1X = -60 Divide each side by '-1'. X = 60 Simplifying X = 60Solution
X = {-85, 60}
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