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Simplifying (x + 12)(x + -19) = 0 Reorder the terms: (12 + x)(x + -19) = 0 Reorder the terms: (12 + x)(-19 + x) = 0 Multiply (12 + x) * (-19 + x) (12(-19 + x) + x(-19 + x)) = 0 ((-19 * 12 + x * 12) + x(-19 + x)) = 0 ((-228 + 12x) + x(-19 + x)) = 0 (-228 + 12x + (-19 * x + x * x)) = 0 (-228 + 12x + (-19x + x2)) = 0 Combine like terms: 12x + -19x = -7x (-228 + -7x + x2) = 0 Solving -228 + -7x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -1x)(19 + -1x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
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 = 19Solution
x = {-12, 19}
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