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Simplifying (x + 4)(x + 19) = 0 Reorder the terms: (4 + x)(x + 19) = 0 Reorder the terms: (4 + x)(19 + x) = 0 Multiply (4 + x) * (19 + x) (4(19 + x) + x(19 + x)) = 0 ((19 * 4 + x * 4) + x(19 + x)) = 0 ((76 + 4x) + x(19 + x)) = 0 (76 + 4x + (19 * x + x * x)) = 0 (76 + 4x + (19x + x2)) = 0 Combine like terms: 4x + 19x = 23x (76 + 23x + x2) = 0 Solving 76 + 23x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + x)(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-19, -4}
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