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Simplifying (1 + -6x)(1 + -2x) = 0 Multiply (1 + -6x) * (1 + -2x) (1(1 + -2x) + -6x * (1 + -2x)) = 0 ((1 * 1 + -2x * 1) + -6x * (1 + -2x)) = 0 ((1 + -2x) + -6x * (1 + -2x)) = 0 (1 + -2x + (1 * -6x + -2x * -6x)) = 0 (1 + -2x + (-6x + 12x2)) = 0 Combine like terms: -2x + -6x = -8x (1 + -8x + 12x2) = 0 Solving 1 + -8x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -6x)(1 + -2x) = 0Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.1666666667, 0.5}
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