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Simplifying (x + 8)(x + 19) = 0 Reorder the terms: (8 + x)(x + 19) = 0 Reorder the terms: (8 + x)(19 + x) = 0 Multiply (8 + x) * (19 + x) (8(19 + x) + x(19 + x)) = 0 ((19 * 8 + x * 8) + x(19 + x)) = 0 ((152 + 8x) + x(19 + x)) = 0 (152 + 8x + (19 * x + x * x)) = 0 (152 + 8x + (19x + x2)) = 0 Combine like terms: 8x + 19x = 27x (152 + 27x + x2) = 0 Solving 152 + 27x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + x)(8 + x) = 0Subproblem 1
Set the factor '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Simplifying x = -19Subproblem 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 = {-19, -8}
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