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Simplifying 81w3 + -1w2 = 0 Reorder the terms: -1w2 + 81w3 = 0 Solving -1w2 + 81w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w2'. w2(-1 + 81w) = 0Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve: Simplifying w2 = 0 Solving w2 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w2 = 0 Take the square root of each side: w = {0}Subproblem 2
Set the factor '(-1 + 81w)' equal to zero and attempt to solve: Simplifying -1 + 81w = 0 Solving -1 + 81w = 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 + 81w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 81w = 0 + 1 81w = 0 + 1 Combine like terms: 0 + 1 = 1 81w = 1 Divide each side by '81'. w = 0.01234567901 Simplifying w = 0.01234567901Solution
w = {0, 0.01234567901}
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