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Simplifying (x + 7)(x + 19) = 0 Reorder the terms: (7 + x)(x + 19) = 0 Reorder the terms: (7 + x)(19 + x) = 0 Multiply (7 + x) * (19 + x) (7(19 + x) + x(19 + x)) = 0 ((19 * 7 + x * 7) + x(19 + x)) = 0 ((133 + 7x) + x(19 + x)) = 0 (133 + 7x + (19 * x + x * x)) = 0 (133 + 7x + (19x + x2)) = 0 Combine like terms: 7x + 19x = 26x (133 + 26x + x2) = 0 Solving 133 + 26x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + x)(7 + 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-19, -7}
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