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Simplifying w(6w + 11) = 10 Reorder the terms: w(11 + 6w) = 10 (11 * w + 6w * w) = 10 (11w + 6w2) = 10 Solving 11w + 6w2 = 10 Solving for variable 'w'. Reorder the terms: -10 + 11w + 6w2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 11w + 6w2 = 0 Factor a trinomial. (-5 + -2w)(2 + -3w) = 0Subproblem 1
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 = -2.5Subproblem 2
Set the factor '(2 + -3w)' equal to zero and attempt to solve: Simplifying 2 + -3w = 0 Solving 2 + -3w = 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 + -3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 0 + -2 -3w = 0 + -2 Combine like terms: 0 + -2 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667Solution
w = {-2.5, 0.6666666667}
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