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Simplifying (3 + -3x)(1 + -6x) = 0 Multiply (3 + -3x) * (1 + -6x) (3(1 + -6x) + -3x * (1 + -6x)) = 0 ((1 * 3 + -6x * 3) + -3x * (1 + -6x)) = 0 ((3 + -18x) + -3x * (1 + -6x)) = 0 (3 + -18x + (1 * -3x + -6x * -3x)) = 0 (3 + -18x + (-3x + 18x2)) = 0 Combine like terms: -18x + -3x = -21x (3 + -21x + 18x2) = 0 Solving 3 + -21x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -7x + 6x2) = 0 Factor a trinomial. 3((1 + -6x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 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 + -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 = {0.1666666667, 1}
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