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Simplifying 2X2 = -15X + -25 Reorder the terms: 2X2 = -25 + -15X Solving 2X2 = -25 + -15X Solving for variable 'X'. Reorder the terms: 25 + 15X + 2X2 = -25 + -15X + 25 + 15X Reorder the terms: 25 + 15X + 2X2 = -25 + 25 + -15X + 15X Combine like terms: -25 + 25 = 0 25 + 15X + 2X2 = 0 + -15X + 15X 25 + 15X + 2X2 = -15X + 15X Combine like terms: -15X + 15X = 0 25 + 15X + 2X2 = 0 Factor a trinomial. (5 + X)(5 + 2X) = 0Subproblem 1
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 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 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 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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