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Simplifying (x + 19)(3x + 1) = 0 Reorder the terms: (19 + x)(3x + 1) = 0 Reorder the terms: (19 + x)(1 + 3x) = 0 Multiply (19 + x) * (1 + 3x) (19(1 + 3x) + x(1 + 3x)) = 0 ((1 * 19 + 3x * 19) + x(1 + 3x)) = 0 ((19 + 57x) + x(1 + 3x)) = 0 (19 + 57x + (1 * x + 3x * x)) = 0 (19 + 57x + (1x + 3x2)) = 0 Combine like terms: 57x + 1x = 58x (19 + 58x + 3x2) = 0 Solving 19 + 58x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + x)(1 + 3x) = 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 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-19, -0.3333333333}
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