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Simplifying (3w + -2)(3w + -1) = 0 Reorder the terms: (-2 + 3w)(3w + -1) = 0 Reorder the terms: (-2 + 3w)(-1 + 3w) = 0 Multiply (-2 + 3w) * (-1 + 3w) (-2(-1 + 3w) + 3w * (-1 + 3w)) = 0 ((-1 * -2 + 3w * -2) + 3w * (-1 + 3w)) = 0 ((2 + -6w) + 3w * (-1 + 3w)) = 0 (2 + -6w + (-1 * 3w + 3w * 3w)) = 0 (2 + -6w + (-3w + 9w2)) = 0 Combine like terms: -6w + -3w = -9w (2 + -9w + 9w2) = 0 Solving 2 + -9w + 9w2 = 0 Solving for variable 'w'. Factor a trinomial. (1 + -3w)(2 + -3w) = 0Subproblem 1
Set the factor '(1 + -3w)' equal to zero and attempt to solve: Simplifying 1 + -3w = 0 Solving 1 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3w = 0 + -1 -3w = 0 + -1 Combine like terms: 0 + -1 = -1 -3w = -1 Divide each side by '-3'. w = 0.3333333333 Simplifying w = 0.3333333333Subproblem 2
Set the factor '(2 + -3w)' equal to zero and attempt to solve: Simplifying 2 + -3w = 0 Solving 2 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 0 + -2 -3w = 0 + -2 Combine like terms: 0 + -2 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667Solution
w = {0.3333333333, 0.6666666667}
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