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Simplifying 98w2 = -8 + -56w Solving 98w2 = -8 + -56w Solving for variable 'w'. Reorder the terms: 8 + 56w + 98w2 = -8 + -56w + 8 + 56w Reorder the terms: 8 + 56w + 98w2 = -8 + 8 + -56w + 56w Combine like terms: -8 + 8 = 0 8 + 56w + 98w2 = 0 + -56w + 56w 8 + 56w + 98w2 = -56w + 56w Combine like terms: -56w + 56w = 0 8 + 56w + 98w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 28w + 49w2) = 0 Factor a trinomial. 2((2 + 7w)(2 + 7w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 7w)' equal to zero and attempt to solve: Simplifying 2 + 7w = 0 Solving 2 + 7w = 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 + 7w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 0 + -2 7w = 0 + -2 Combine like terms: 0 + -2 = -2 7w = -2 Divide each side by '7'. w = -0.2857142857 Simplifying w = -0.2857142857Subproblem 2
Set the factor '(2 + 7w)' equal to zero and attempt to solve: Simplifying 2 + 7w = 0 Solving 2 + 7w = 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 + 7w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 0 + -2 7w = 0 + -2 Combine like terms: 0 + -2 = -2 7w = -2 Divide each side by '7'. w = -0.2857142857 Simplifying w = -0.2857142857Solution
w = {-0.2857142857, -0.2857142857}
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