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Simplifying 3w2 + 25w + 50 = 0 Reorder the terms: 50 + 25w + 3w2 = 0 Solving 50 + 25w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + w)(10 + 3w) = 0Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Subproblem 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 = {-5, -3.333333333}
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