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Simplifying x2 + 12x + 41 = -2x + 1 Reorder the terms: 41 + 12x + x2 = -2x + 1 Reorder the terms: 41 + 12x + x2 = 1 + -2x Solving 41 + 12x + x2 = 1 + -2x Solving for variable 'x'. Reorder the terms: 41 + -1 + 12x + 2x + x2 = 1 + -2x + -1 + 2x Combine like terms: 41 + -1 = 40 40 + 12x + 2x + x2 = 1 + -2x + -1 + 2x Combine like terms: 12x + 2x = 14x 40 + 14x + x2 = 1 + -2x + -1 + 2x Reorder the terms: 40 + 14x + x2 = 1 + -1 + -2x + 2x Combine like terms: 1 + -1 = 0 40 + 14x + x2 = 0 + -2x + 2x 40 + 14x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 40 + 14x + x2 = 0 Factor a trinomial. (10 + x)(4 + x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 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 = {-10, -4}
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