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Simplifying -6w2 + -10w + -4 = 0 Reorder the terms: -4 + -10w + -6w2 = 0 Solving -4 + -10w + -6w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-2'. -2(2 + 5w + 3w2) = 0 Factor a trinomial. -2((1 + w)(2 + 3w)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 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 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Subproblem 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 = {-1, -0.6666666667}
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