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Simplifying x2 + 46x + 304 = 0 Reorder the terms: 304 + 46x + x2 = 0 Solving 304 + 46x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (38 + x)(8 + x) = 0Subproblem 1
Set the factor '(38 + x)' equal to zero and attempt to solve: Simplifying 38 + x = 0 Solving 38 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + x = 0 + -38 x = 0 + -38 Combine like terms: 0 + -38 = -38 x = -38 Simplifying x = -38Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-38, -8}
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