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Simplifying (6 + -1w)(2w + -5) = 0 Reorder the terms: (6 + -1w)(-5 + 2w) = 0 Multiply (6 + -1w) * (-5 + 2w) (6(-5 + 2w) + -1w * (-5 + 2w)) = 0 ((-5 * 6 + 2w * 6) + -1w * (-5 + 2w)) = 0 ((-30 + 12w) + -1w * (-5 + 2w)) = 0 (-30 + 12w + (-5 * -1w + 2w * -1w)) = 0 (-30 + 12w + (5w + -2w2)) = 0 Combine like terms: 12w + 5w = 17w (-30 + 17w + -2w2) = 0 Solving -30 + 17w + -2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + w)(5 + -2w) = 0Subproblem 1
Set the factor '(-6 + w)' equal to zero and attempt to solve: Simplifying -6 + w = 0 Solving -6 + w = 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 + w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + w = 0 + 6 w = 0 + 6 Combine like terms: 0 + 6 = 6 w = 6 Simplifying w = 6Subproblem 2
Set the factor '(5 + -2w)' equal to zero and attempt to solve: Simplifying 5 + -2w = 0 Solving 5 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 0 + -5 -2w = 0 + -5 Combine like terms: 0 + -5 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5Solution
w = {6, 2.5}
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