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Simplifying x2 + 27x = -50 Reorder the terms: 27x + x2 = -50 Solving 27x + x2 = -50 Solving for variable 'x'. Reorder the terms: 50 + 27x + x2 = -50 + 50 Combine like terms: -50 + 50 = 0 50 + 27x + x2 = 0 Factor a trinomial. (25 + x)(2 + x) = 0Subproblem 1
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 = -25Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-25, -2}
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