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Simplifying X2 + 22X + 42 = 7X + -2 Reorder the terms: 42 + 22X + X2 = 7X + -2 Reorder the terms: 42 + 22X + X2 = -2 + 7X Solving 42 + 22X + X2 = -2 + 7X Solving for variable 'X'. Reorder the terms: 42 + 2 + 22X + -7X + X2 = -2 + 7X + 2 + -7X Combine like terms: 42 + 2 = 44 44 + 22X + -7X + X2 = -2 + 7X + 2 + -7X Combine like terms: 22X + -7X = 15X 44 + 15X + X2 = -2 + 7X + 2 + -7X Reorder the terms: 44 + 15X + X2 = -2 + 2 + 7X + -7X Combine like terms: -2 + 2 = 0 44 + 15X + X2 = 0 + 7X + -7X 44 + 15X + X2 = 7X + -7X Combine like terms: 7X + -7X = 0 44 + 15X + X2 = 0 Factor a trinomial. (11 + X)(4 + X) = 0Subproblem 1
Set the factor '(11 + X)' equal to zero and attempt to solve: Simplifying 11 + X = 0 Solving 11 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + X = 0 + -11 X = 0 + -11 Combine like terms: 0 + -11 = -11 X = -11 Simplifying X = -11Subproblem 2
Set the factor '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Solution
X = {-11, -4}
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