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Simplifying (3w + -2)(3w + -2) = 0 Reorder the terms: (-2 + 3w)(3w + -2) = 0 Reorder the terms: (-2 + 3w)(-2 + 3w) = 0 Multiply (-2 + 3w) * (-2 + 3w) (-2(-2 + 3w) + 3w * (-2 + 3w)) = 0 ((-2 * -2 + 3w * -2) + 3w * (-2 + 3w)) = 0 ((4 + -6w) + 3w * (-2 + 3w)) = 0 (4 + -6w + (-2 * 3w + 3w * 3w)) = 0 (4 + -6w + (-6w + 9w2)) = 0 Combine like terms: -6w + -6w = -12w (4 + -12w + 9w2) = 0 Solving 4 + -12w + 9w2 = 0 Solving for variable 'w'. Factor a trinomial. (2 + -3w)(2 + -3w) = 0Subproblem 1
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 = 0.6666666667Subproblem 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 = {0.6666666667, 0.6666666667}
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