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Simplifying 6w2 + 35w = 6 Reorder the terms: 35w + 6w2 = 6 Solving 35w + 6w2 = 6 Solving for variable 'w'. Reorder the terms: -6 + 35w + 6w2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 35w + 6w2 = 0 Factor a trinomial. (-6 + -1w)(1 + -6w) = 0Subproblem 1
Set the factor '(-6 + -1w)' equal to zero and attempt to solve: Simplifying -6 + -1w = 0 Solving -6 + -1w = 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 + -1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = 0 + 6 -1w = 0 + 6 Combine like terms: 0 + 6 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6Subproblem 2
Set the factor '(1 + -6w)' equal to zero and attempt to solve: Simplifying 1 + -6w = 0 Solving 1 + -6w = 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 + -6w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6w = 0 + -1 -6w = 0 + -1 Combine like terms: 0 + -1 = -1 -6w = -1 Divide each side by '-6'. w = 0.1666666667 Simplifying w = 0.1666666667Solution
w = {-6, 0.1666666667}
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