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Simplifying x2 + 15x + 30 = x + 6 Reorder the terms: 30 + 15x + x2 = x + 6 Reorder the terms: 30 + 15x + x2 = 6 + x Solving 30 + 15x + x2 = 6 + x Solving for variable 'x'. Reorder the terms: 30 + -6 + 15x + -1x + x2 = 6 + x + -6 + -1x Combine like terms: 30 + -6 = 24 24 + 15x + -1x + x2 = 6 + x + -6 + -1x Combine like terms: 15x + -1x = 14x 24 + 14x + x2 = 6 + x + -6 + -1x Reorder the terms: 24 + 14x + x2 = 6 + -6 + x + -1x Combine like terms: 6 + -6 = 0 24 + 14x + x2 = 0 + x + -1x 24 + 14x + x2 = x + -1x Combine like terms: x + -1x = 0 24 + 14x + x2 = 0 Factor a trinomial. (12 + x)(2 + x) = 0Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 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 = {-12, -2}
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