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Simplifying 25w + -3w2 + -8 = 0 Reorder the terms: -8 + 25w + -3w2 = 0 Solving -8 + 25w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + w)(1 + -3w) = 0Subproblem 1
Set the factor '(-8 + w)' equal to zero and attempt to solve: Simplifying -8 + w = 0 Solving -8 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + w = 0 + 8 w = 0 + 8 Combine like terms: 0 + 8 = 8 w = 8 Simplifying w = 8Subproblem 2
Set the factor '(1 + -3w)' equal to zero and attempt to solve: Simplifying 1 + -3w = 0 Solving 1 + -3w = 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 + -3w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3w = 0 + -1 -3w = 0 + -1 Combine like terms: 0 + -1 = -1 -3w = -1 Divide each side by '-3'. w = 0.3333333333 Simplifying w = 0.3333333333Solution
w = {8, 0.3333333333}
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