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Simplifying (1 + -1x)(1 + -3x) = 0 Multiply (1 + -1x) * (1 + -3x) (1(1 + -3x) + -1x * (1 + -3x)) = 0 ((1 * 1 + -3x * 1) + -1x * (1 + -3x)) = 0 ((1 + -3x) + -1x * (1 + -3x)) = 0 (1 + -3x + (1 * -1x + -3x * -1x)) = 0 (1 + -3x + (-1x + 3x2)) = 0 Combine like terms: -3x + -1x = -4x (1 + -4x + 3x2) = 0 Solving 1 + -4x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -3x)(1 + -1x) = 0Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
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 = 1Solution
x = {0.3333333333, 1}
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