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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 = -12x (-133 + -12x + x2) = 0 Solving -133 + -12x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x)(19 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 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 = {-7, 19}
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