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Simplifying -1w2(3w + -12) + -2w2 = 0 Reorder the terms: -1w2(-12 + 3w) + -2w2 = 0 (-12 * -1w2 + 3w * -1w2) + -2w2 = 0 (12w2 + -3w3) + -2w2 = 0 Reorder the terms: 12w2 + -2w2 + -3w3 = 0 Combine like terms: 12w2 + -2w2 = 10w2 10w2 + -3w3 = 0 Solving 10w2 + -3w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w2'. w2(10 + -3w) = 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 + -3w)' equal to zero and attempt to solve: Simplifying 10 + -3w = 0 Solving 10 + -3w = 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 + -3w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = 0 + -10 -3w = 0 + -10 Combine like terms: 0 + -10 = -10 -3w = -10 Divide each side by '-3'. w = 3.333333333 Simplifying w = 3.333333333Solution
w = {0, 3.333333333}
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