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Simplifying x2 + 4x + 50 = 14 + -8x Reorder the terms: 50 + 4x + x2 = 14 + -8x Solving 50 + 4x + x2 = 14 + -8x Solving for variable 'x'. Reorder the terms: 50 + -14 + 4x + 8x + x2 = 14 + -8x + -14 + 8x Combine like terms: 50 + -14 = 36 36 + 4x + 8x + x2 = 14 + -8x + -14 + 8x Combine like terms: 4x + 8x = 12x 36 + 12x + x2 = 14 + -8x + -14 + 8x Reorder the terms: 36 + 12x + x2 = 14 + -14 + -8x + 8x Combine like terms: 14 + -14 = 0 36 + 12x + x2 = 0 + -8x + 8x 36 + 12x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 36 + 12x + x2 = 0 Factor a trinomial. (6 + x)(6 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-6, -6}
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