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Simplifying 49w + -100w3 = 0 Solving 49w + -100w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(49 + -100w2) = 0 Factor a difference between two squares. w((7 + 10w)(7 + -10w)) = 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 '(7 + 10w)' equal to zero and attempt to solve: Simplifying 7 + 10w = 0 Solving 7 + 10w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10w = 0 + -7 10w = 0 + -7 Combine like terms: 0 + -7 = -7 10w = -7 Divide each side by '10'. w = -0.7 Simplifying w = -0.7Subproblem 3
Set the factor '(7 + -10w)' equal to zero and attempt to solve: Simplifying 7 + -10w = 0 Solving 7 + -10w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10w = 0 + -7 -10w = 0 + -7 Combine like terms: 0 + -7 = -7 -10w = -7 Divide each side by '-10'. w = 0.7 Simplifying w = 0.7Solution
w = {0, -0.7, 0.7}
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