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Simplifying 30w2 + 49w + -11 = 0 Reorder the terms: -11 + 49w + 30w2 = 0 Solving -11 + 49w + 30w2 = 0 Solving for variable 'w'. Factor a trinomial. (-11 + -6w)(1 + -5w) = 0Subproblem 1
Set the factor '(-11 + -6w)' equal to zero and attempt to solve: Simplifying -11 + -6w = 0 Solving -11 + -6w = 0 Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6w = 0 + 11 -6w = 0 + 11 Combine like terms: 0 + 11 = 11 -6w = 11 Divide each side by '-6'. w = -1.833333333 Simplifying w = -1.833333333Subproblem 2
Set the factor '(1 + -5w)' equal to zero and attempt to solve: Simplifying 1 + -5w = 0 Solving 1 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5w = 0 + -1 -5w = 0 + -1 Combine like terms: 0 + -1 = -1 -5w = -1 Divide each side by '-5'. w = 0.2 Simplifying w = 0.2Solution
w = {-1.833333333, 0.2}
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