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Simplifying x(x + 19) + 5(x + 19) = 0 Reorder the terms: x(19 + x) + 5(x + 19) = 0 (19 * x + x * x) + 5(x + 19) = 0 (19x + x2) + 5(x + 19) = 0 Reorder the terms: 19x + x2 + 5(19 + x) = 0 19x + x2 + (19 * 5 + x * 5) = 0 19x + x2 + (95 + 5x) = 0 Reorder the terms: 95 + 19x + 5x + x2 = 0 Combine like terms: 19x + 5x = 24x 95 + 24x + x2 = 0 Solving 95 + 24x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-19, -5}
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