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Simplifying (x + 24)(x + -14) = 0 Reorder the terms: (24 + x)(x + -14) = 0 Reorder the terms: (24 + x)(-14 + x) = 0 Multiply (24 + x) * (-14 + x) (24(-14 + x) + x(-14 + x)) = 0 ((-14 * 24 + x * 24) + x(-14 + x)) = 0 ((-336 + 24x) + x(-14 + x)) = 0 (-336 + 24x + (-14 * x + x * x)) = 0 (-336 + 24x + (-14x + x2)) = 0 Combine like terms: 24x + -14x = 10x (-336 + 10x + x2) = 0 Solving -336 + 10x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-24 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve: Simplifying -24 + -1x = 0 Solving -24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 0 + 24 -1x = 0 + 24 Combine like terms: 0 + 24 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-24, 14}
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