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Simplifying 4w2 + -12w + 5 = 5 Reorder the terms: 5 + -12w + 4w2 = 5 Add '-5' to each side of the equation. 5 + -12w + -5 + 4w2 = 5 + -5 Reorder the terms: 5 + -5 + -12w + 4w2 = 5 + -5 Combine like terms: 5 + -5 = 0 0 + -12w + 4w2 = 5 + -5 -12w + 4w2 = 5 + -5 Combine like terms: 5 + -5 = 0 -12w + 4w2 = 0 Solving -12w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w'. 4w(-3 + w) = 0 Ignore the factor 4.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 '(-3 + w)' equal to zero and attempt to solve: Simplifying -3 + w = 0 Solving -3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + w = 0 + 3 w = 0 + 3 Combine like terms: 0 + 3 = 3 w = 3 Simplifying w = 3Solution
w = {0, 3}
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