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Simplifying x2 + 24x = -44 Reorder the terms: 24x + x2 = -44 Solving 24x + x2 = -44 Solving for variable 'x'. Reorder the terms: 44 + 24x + x2 = -44 + 44 Combine like terms: -44 + 44 = 0 44 + 24x + x2 = 0 Factor a trinomial. (22 + x)(2 + x) = 0Subproblem 1
Set the factor '(22 + x)' equal to zero and attempt to solve: Simplifying 22 + x = 0 Solving 22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + x = 0 + -22 x = 0 + -22 Combine like terms: 0 + -22 = -22 x = -22 Simplifying x = -22Subproblem 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 = {-22, -2}
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