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Simplifying (x + 10)(x + -14) = 0 Reorder the terms: (10 + x)(x + -14) = 0 Reorder the terms: (10 + x)(-14 + x) = 0 Multiply (10 + x) * (-14 + x) (10(-14 + x) + x(-14 + x)) = 0 ((-14 * 10 + x * 10) + x(-14 + x)) = 0 ((-140 + 10x) + x(-14 + x)) = 0 (-140 + 10x + (-14 * x + x * x)) = 0 (-140 + 10x + (-14x + x2)) = 0 Combine like terms: 10x + -14x = -4x (-140 + -4x + x2) = 0 Solving -140 + -4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 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 = {-10, 14}
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