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Simplifying (11w + 9)(2w + -5) = 0 Reorder the terms: (9 + 11w)(2w + -5) = 0 Reorder the terms: (9 + 11w)(-5 + 2w) = 0 Multiply (9 + 11w) * (-5 + 2w) (9(-5 + 2w) + 11w * (-5 + 2w)) = 0 ((-5 * 9 + 2w * 9) + 11w * (-5 + 2w)) = 0 ((-45 + 18w) + 11w * (-5 + 2w)) = 0 (-45 + 18w + (-5 * 11w + 2w * 11w)) = 0 (-45 + 18w + (-55w + 22w2)) = 0 Combine like terms: 18w + -55w = -37w (-45 + -37w + 22w2) = 0 Solving -45 + -37w + 22w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -11w)(5 + -2w) = 0Subproblem 1
Set the factor '(-9 + -11w)' equal to zero and attempt to solve: Simplifying -9 + -11w = 0 Solving -9 + -11w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -11w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -11w = 0 + 9 -11w = 0 + 9 Combine like terms: 0 + 9 = 9 -11w = 9 Divide each side by '-11'. w = -0.8181818182 Simplifying w = -0.8181818182Subproblem 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 = {-0.8181818182, 2.5}
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