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Simplifying 49w3 + -1w = 0 Reorder the terms: -1w + 49w3 = 0 Solving -1w + 49w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-1 + 49w2) = 0 Factor a difference between two squares. w((1 + 7w)(-1 + 7w)) = 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 + 7w)' equal to zero and attempt to solve: Simplifying 1 + 7w = 0 Solving 1 + 7w = 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 + 7w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7w = 0 + -1 7w = 0 + -1 Combine like terms: 0 + -1 = -1 7w = -1 Divide each side by '7'. w = -0.1428571429 Simplifying w = -0.1428571429Subproblem 3
Set the factor '(-1 + 7w)' equal to zero and attempt to solve: Simplifying -1 + 7w = 0 Solving -1 + 7w = 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 + 7w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7w = 0 + 1 7w = 0 + 1 Combine like terms: 0 + 1 = 1 7w = 1 Divide each side by '7'. w = 0.1428571429 Simplifying w = 0.1428571429Solution
w = {0, -0.1428571429, 0.1428571429}
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