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Simplifying 14w3 = 15w Solving 14w3 = 15w Solving for variable 'w'. Reorder the terms: -15w + 14w3 = 15w + -15w Combine like terms: 15w + -15w = 0 -15w + 14w3 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-15 + 14w2) = 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 '(-15 + 14w2)' equal to zero and attempt to solve: Simplifying -15 + 14w2 = 0 Solving -15 + 14w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 14w2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 14w2 = 0 + 15 14w2 = 0 + 15 Combine like terms: 0 + 15 = 15 14w2 = 15 Divide each side by '14'. w2 = 1.071428571 Simplifying w2 = 1.071428571 Take the square root of each side: w = {-1.035098339, 1.035098339}Solution
w = {0, -1.035098339, 1.035098339}
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