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Simplifying (x + 19)(x + -27) = 0 Reorder the terms: (19 + x)(x + -27) = 0 Reorder the terms: (19 + x)(-27 + x) = 0 Multiply (19 + x) * (-27 + x) (19(-27 + x) + x(-27 + x)) = 0 ((-27 * 19 + x * 19) + x(-27 + x)) = 0 ((-513 + 19x) + x(-27 + x)) = 0 (-513 + 19x + (-27 * x + x * x)) = 0 (-513 + 19x + (-27x + x2)) = 0 Combine like terms: 19x + -27x = -8x (-513 + -8x + x2) = 0 Solving -513 + -8x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -1x)(27 + -1x) = 0Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 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 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve: Simplifying 27 + -1x = 0 Solving 27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 0 + -27 -1x = 0 + -27 Combine like terms: 0 + -27 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27Solution
x = {-19, 27}
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