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Simplifying (x + 1)(x + 19) = 0 Reorder the terms: (1 + x)(x + 19) = 0 Reorder the terms: (1 + x)(19 + x) = 0 Multiply (1 + x) * (19 + x) (1(19 + x) + x(19 + x)) = 0 ((19 * 1 + x * 1) + x(19 + x)) = 0 ((19 + 1x) + x(19 + x)) = 0 (19 + 1x + (19 * x + x * x)) = 0 (19 + 1x + (19x + x2)) = 0 Combine like terms: 1x + 19x = 20x (19 + 20x + x2) = 0 Solving 19 + 20x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + x)(1 + 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-19, -1}
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