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Simplifying 4w2 + w + 15w2 = 0 Reorder the terms: w + 4w2 + 15w2 = 0 Combine like terms: 4w2 + 15w2 = 19w2 w + 19w2 = 0 Solving w + 19w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(1 + 19w) = 0Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(1 + 19w)' equal to zero and attempt to solve: Simplifying 1 + 19w = 0 Solving 1 + 19w = 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 + 19w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 19w = 0 + -1 19w = 0 + -1 Combine like terms: 0 + -1 = -1 19w = -1 Divide each side by '19'. w = -0.05263157895 Simplifying w = -0.05263157895Solution
w = {0, -0.05263157895}
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