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Simplifying (5w + -2)(6 + w) = 0 Reorder the terms: (-2 + 5w)(6 + w) = 0 Multiply (-2 + 5w) * (6 + w) (-2(6 + w) + 5w * (6 + w)) = 0 ((6 * -2 + w * -2) + 5w * (6 + w)) = 0 ((-12 + -2w) + 5w * (6 + w)) = 0 (-12 + -2w + (6 * 5w + w * 5w)) = 0 (-12 + -2w + (30w + 5w2)) = 0 Combine like terms: -2w + 30w = 28w (-12 + 28w + 5w2) = 0 Solving -12 + 28w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + -1w)(2 + -5w) = 0Subproblem 1
Set the factor '(-6 + -1w)' equal to zero and attempt to solve: Simplifying -6 + -1w = 0 Solving -6 + -1w = 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 + -1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = 0 + 6 -1w = 0 + 6 Combine like terms: 0 + 6 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6Subproblem 2
Set the factor '(2 + -5w)' equal to zero and attempt to solve: Simplifying 2 + -5w = 0 Solving 2 + -5w = 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 + -5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 0 + -2 -5w = 0 + -2 Combine like terms: 0 + -2 = -2 -5w = -2 Divide each side by '-5'. w = 0.4 Simplifying w = 0.4Solution
w = {-6, 0.4}
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