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Simplifying X2 + 65X + 1000 = 0 Reorder the terms: 1000 + 65X + X2 = 0 Solving 1000 + 65X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (40 + X)(25 + X) = 0Subproblem 1
Set the factor '(40 + X)' equal to zero and attempt to solve: Simplifying 40 + X = 0 Solving 40 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + X = 0 + -40 Combine like terms: 40 + -40 = 0 0 + X = 0 + -40 X = 0 + -40 Combine like terms: 0 + -40 = -40 X = -40 Simplifying X = -40Subproblem 2
Set the factor '(25 + X)' equal to zero and attempt to solve: Simplifying 25 + X = 0 Solving 25 + X = 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 + X = 0 + -25 Combine like terms: 25 + -25 = 0 0 + X = 0 + -25 X = 0 + -25 Combine like terms: 0 + -25 = -25 X = -25 Simplifying X = -25Solution
X = {-40, -25}
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