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Simplifying (-1 + -1x)(14 + -1x) = 0 Multiply (-1 + -1x) * (14 + -1x) (-1(14 + -1x) + -1x * (14 + -1x)) = 0 ((14 * -1 + -1x * -1) + -1x * (14 + -1x)) = 0 ((-14 + 1x) + -1x * (14 + -1x)) = 0 (-14 + 1x + (14 * -1x + -1x * -1x)) = 0 (-14 + 1x + (-14x + 1x2)) = 0 Combine like terms: 1x + -14x = -13x (-14 + -13x + 1x2) = 0 Solving -14 + -13x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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 = {-1, 14}
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