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Simplifying (-4 + -1x)(14 + -1x) = 0 Multiply (-4 + -1x) * (14 + -1x) (-4(14 + -1x) + -1x * (14 + -1x)) = 0 ((14 * -4 + -1x * -4) + -1x * (14 + -1x)) = 0 ((-56 + 4x) + -1x * (14 + -1x)) = 0 (-56 + 4x + (14 * -1x + -1x * -1x)) = 0 (-56 + 4x + (-14x + 1x2)) = 0 Combine like terms: 4x + -14x = -10x (-56 + -10x + 1x2) = 0 Solving -56 + -10x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 14}
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