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Simplifying 3w3 + -12w2 + 36w = 0 Reorder the terms: 36w + -12w2 + 3w3 = 0 Solving 36w + -12w2 + 3w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(12 + -4w + w2) = 0 Ignore the factor 3.Subproblem 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 '(12 + -4w + w2)' equal to zero and attempt to solve: Simplifying 12 + -4w + w2 = 0 Solving 12 + -4w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + -4w + -12 + w2 = 0 + -12 Reorder the terms: 12 + -12 + -4w + w2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4w + w2 = 0 + -12 -4w + w2 = 0 + -12 Combine like terms: 0 + -12 = -12 -4w + w2 = -12 The w term is -4w. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4w + 4 + w2 = -12 + 4 Reorder the terms: 4 + -4w + w2 = -12 + 4 Combine like terms: -12 + 4 = -8 4 + -4w + w2 = -8 Factor a perfect square on the left side: (w + -2)(w + -2) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
w = {0}
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