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Simplifying (9w + 4)(5w + -2) = 0 Reorder the terms: (4 + 9w)(5w + -2) = 0 Reorder the terms: (4 + 9w)(-2 + 5w) = 0 Multiply (4 + 9w) * (-2 + 5w) (4(-2 + 5w) + 9w * (-2 + 5w)) = 0 ((-2 * 4 + 5w * 4) + 9w * (-2 + 5w)) = 0 ((-8 + 20w) + 9w * (-2 + 5w)) = 0 (-8 + 20w + (-2 * 9w + 5w * 9w)) = 0 (-8 + 20w + (-18w + 45w2)) = 0 Combine like terms: 20w + -18w = 2w (-8 + 2w + 45w2) = 0 Solving -8 + 2w + 45w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + -9w)(2 + -5w) = 0Subproblem 1
Set the factor '(-4 + -9w)' equal to zero and attempt to solve: Simplifying -4 + -9w = 0 Solving -4 + -9w = 0 Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9w = 0 + 4 -9w = 0 + 4 Combine like terms: 0 + 4 = 4 -9w = 4 Divide each side by '-9'. w = -0.4444444444 Simplifying w = -0.4444444444Subproblem 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 = {-0.4444444444, 0.4}
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