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Simplifying (1x + -3)(6x + -2) = 0 Reorder the terms: (-3 + 1x)(6x + -2) = 0 Reorder the terms: (-3 + 1x)(-2 + 6x) = 0 Multiply (-3 + 1x) * (-2 + 6x) (-3(-2 + 6x) + 1x * (-2 + 6x)) = 0 ((-2 * -3 + 6x * -3) + 1x * (-2 + 6x)) = 0 ((6 + -18x) + 1x * (-2 + 6x)) = 0 (6 + -18x + (-2 * 1x + 6x * 1x)) = 0 (6 + -18x + (-2x + 6x2)) = 0 Combine like terms: -18x + -2x = -20x (6 + -20x + 6x2) = 0 Solving 6 + -20x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -10x + 3x2) = 0 Factor a trinomial. 2((1 + -3x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.3333333333, 3}
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