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Simplifying (5w + -6)(5w + -6) = 0 Reorder the terms: (-6 + 5w)(5w + -6) = 0 Reorder the terms: (-6 + 5w)(-6 + 5w) = 0 Multiply (-6 + 5w) * (-6 + 5w) (-6(-6 + 5w) + 5w * (-6 + 5w)) = 0 ((-6 * -6 + 5w * -6) + 5w * (-6 + 5w)) = 0 ((36 + -30w) + 5w * (-6 + 5w)) = 0 (36 + -30w + (-6 * 5w + 5w * 5w)) = 0 (36 + -30w + (-30w + 25w2)) = 0 Combine like terms: -30w + -30w = -60w (36 + -60w + 25w2) = 0 Solving 36 + -60w + 25w2 = 0 Solving for variable 'w'. Factor a trinomial. (6 + -5w)(6 + -5w) = 0Subproblem 1
Set the factor '(6 + -5w)' equal to zero and attempt to solve: Simplifying 6 + -5w = 0 Solving 6 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5w = 0 + -6 -5w = 0 + -6 Combine like terms: 0 + -6 = -6 -5w = -6 Divide each side by '-5'. w = 1.2 Simplifying w = 1.2Subproblem 2
Set the factor '(6 + -5w)' equal to zero and attempt to solve: Simplifying 6 + -5w = 0 Solving 6 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5w = 0 + -6 -5w = 0 + -6 Combine like terms: 0 + -6 = -6 -5w = -6 Divide each side by '-5'. w = 1.2 Simplifying w = 1.2Solution
w = {1.2, 1.2}
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