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Simplifying x2 + 10x + 34 = -4x + 1 Reorder the terms: 34 + 10x + x2 = -4x + 1 Reorder the terms: 34 + 10x + x2 = 1 + -4x Solving 34 + 10x + x2 = 1 + -4x Solving for variable 'x'. Reorder the terms: 34 + -1 + 10x + 4x + x2 = 1 + -4x + -1 + 4x Combine like terms: 34 + -1 = 33 33 + 10x + 4x + x2 = 1 + -4x + -1 + 4x Combine like terms: 10x + 4x = 14x 33 + 14x + x2 = 1 + -4x + -1 + 4x Reorder the terms: 33 + 14x + x2 = 1 + -1 + -4x + 4x Combine like terms: 1 + -1 = 0 33 + 14x + x2 = 0 + -4x + 4x 33 + 14x + x2 = -4x + 4x Combine like terms: -4x + 4x = 0 33 + 14x + x2 = 0 Factor a trinomial. (11 + x)(3 + 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-11, -3}
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