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Simplifying X(2X + 5) = 25 Reorder the terms: X(5 + 2X) = 25 (5 * X + 2X * X) = 25 (5X + 2X2) = 25 Solving 5X + 2X2 = 25 Solving for variable 'X'. Reorder the terms: -25 + 5X + 2X2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 5X + 2X2 = 0 Factor a trinomial. (-5 + -1X)(5 + -2X) = 0Subproblem 1
Set the factor '(-5 + -1X)' equal to zero and attempt to solve: Simplifying -5 + -1X = 0 Solving -5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1X = 0 + 5 -1X = 0 + 5 Combine like terms: 0 + 5 = 5 -1X = 5 Divide each side by '-1'. X = -5 Simplifying X = -5Subproblem 2
Set the factor '(5 + -2X)' equal to zero and attempt to solve: Simplifying 5 + -2X = 0 Solving 5 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2X = 0 + -5 -2X = 0 + -5 Combine like terms: 0 + -5 = -5 -2X = -5 Divide each side by '-2'. X = 2.5 Simplifying X = 2.5Solution
X = {-5, 2.5}
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