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Simplifying x2 + 45x = -200 Reorder the terms: 45x + x2 = -200 Solving 45x + x2 = -200 Solving for variable 'x'. Reorder the terms: 200 + 45x + x2 = -200 + 200 Combine like terms: -200 + 200 = 0 200 + 45x + x2 = 0 Factor a trinomial. (40 + x)(5 + 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 '(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 = -5Solution
x = {-40, -5}
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