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Simplifying 24w * w + -24w + 6 = 0 Multiply w * w 24w2 + -24w + 6 = 0 Reorder the terms: 6 + -24w + 24w2 = 0 Solving 6 + -24w + 24w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '6'. 6(1 + -4w + 4w2) = 0 Factor a trinomial. 6((1 + -2w)(1 + -2w)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(1 + -2w)' equal to zero and attempt to solve: Simplifying 1 + -2w = 0 Solving 1 + -2w = 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 + -2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 0 + -1 -2w = 0 + -1 Combine like terms: 0 + -1 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5Subproblem 2
Set the factor '(1 + -2w)' equal to zero and attempt to solve: Simplifying 1 + -2w = 0 Solving 1 + -2w = 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 + -2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 0 + -1 -2w = 0 + -1 Combine like terms: 0 + -1 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5Solution
w = {0.5, 0.5}
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