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Simplifying (x + 14)(x + -10) = 0 Reorder the terms: (14 + x)(x + -10) = 0 Reorder the terms: (14 + x)(-10 + x) = 0 Multiply (14 + x) * (-10 + x) (14(-10 + x) + x(-10 + x)) = 0 ((-10 * 14 + x * 14) + x(-10 + x)) = 0 ((-140 + 14x) + x(-10 + x)) = 0 (-140 + 14x + (-10 * x + x * x)) = 0 (-140 + 14x + (-10x + x2)) = 0 Combine like terms: 14x + -10x = 4x (-140 + 4x + x2) = 0 Solving -140 + 4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + -1x)(10 + -1x) = 0Subproblem 1
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 = -14Subproblem 2
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 = 10Solution
x = {-14, 10}
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