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Simplifying (14w3) + -1(5w2) = 0 Remove parenthesis around (5w2) (14w3) + -1 * 5w2 = 0 Multiply -1 * 5 (14w3) + -5w2 = 0 Reorder the terms: -5w2 + (14w3) = 0 Solving -5w2 + (14w3) = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w2'. w2(-5 + (14w)) = 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 '(-5 + (14w))' equal to zero and attempt to solve: Simplifying -5 + (14w) = 0 Solving -5 + (14w) = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + (14w) = 0 + 5 Combine like terms: -5 + 5 = 0 0 + (14w) = 0 + 5 (14w) = 0 + 5 Combine like terms: 0 + 5 = 5 (14w) = 5 Divide each side by '14'. w = 0.3571428571 Simplifying w = 0.3571428571Solution
w = {0, 0.3571428571}
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