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Simplifying 9w4 = 10w2 Solving 9w4 = 10w2 Solving for variable 'w'. Reorder the terms: -10w2 + 9w4 = 10w2 + -10w2 Combine like terms: 10w2 + -10w2 = 0 -10w2 + 9w4 = 0 Factor out the Greatest Common Factor (GCF), 'w2'. w2(-10 + 9w2) = 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 '(-10 + 9w2)' equal to zero and attempt to solve: Simplifying -10 + 9w2 = 0 Solving -10 + 9w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9w2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9w2 = 0 + 10 9w2 = 0 + 10 Combine like terms: 0 + 10 = 10 9w2 = 10 Divide each side by '9'. w2 = 1.111111111 Simplifying w2 = 1.111111111 Take the square root of each side: w = {-1.054092553, 1.054092553}Solution
w = {0, -1.054092553, 1.054092553}
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