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Simplifying (2X + 5)(X + 2) = 210 Reorder the terms: (5 + 2X)(X + 2) = 210 Reorder the terms: (5 + 2X)(2 + X) = 210 Multiply (5 + 2X) * (2 + X) (5(2 + X) + 2X * (2 + X)) = 210 ((2 * 5 + X * 5) + 2X * (2 + X)) = 210 ((10 + 5X) + 2X * (2 + X)) = 210 (10 + 5X + (2 * 2X + X * 2X)) = 210 (10 + 5X + (4X + 2X2)) = 210 Combine like terms: 5X + 4X = 9X (10 + 9X + 2X2) = 210 Solving 10 + 9X + 2X2 = 210 Solving for variable 'X'. Reorder the terms: 10 + -210 + 9X + 2X2 = 210 + -210 Combine like terms: 10 + -210 = -200 -200 + 9X + 2X2 = 210 + -210 Combine like terms: 210 + -210 = 0 -200 + 9X + 2X2 = 0 Factor a trinomial. (-25 + -2X)(8 + -1X) = 0Subproblem 1
Set the factor '(-25 + -2X)' equal to zero and attempt to solve: Simplifying -25 + -2X = 0 Solving -25 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -2X = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2X = 0 + 25 -2X = 0 + 25 Combine like terms: 0 + 25 = 25 -2X = 25 Divide each side by '-2'. X = -12.5 Simplifying X = -12.5Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Solution
X = {-12.5, 8}
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