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Simplifying 3w2 + 5w = 250 Reorder the terms: 5w + 3w2 = 250 Solving 5w + 3w2 = 250 Solving for variable 'w'. Reorder the terms: -250 + 5w + 3w2 = 250 + -250 Combine like terms: 250 + -250 = 0 -250 + 5w + 3w2 = 0 Factor a trinomial. (-10 + -1w)(25 + -3w) = 0Subproblem 1
Set the factor '(-10 + -1w)' equal to zero and attempt to solve: Simplifying -10 + -1w = 0 Solving -10 + -1w = 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 + -1w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 0 + 10 -1w = 0 + 10 Combine like terms: 0 + 10 = 10 -1w = 10 Divide each side by '-1'. w = -10 Simplifying w = -10Subproblem 2
Set the factor '(25 + -3w)' equal to zero and attempt to solve: Simplifying 25 + -3w = 0 Solving 25 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -3w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3w = 0 + -25 -3w = 0 + -25 Combine like terms: 0 + -25 = -25 -3w = -25 Divide each side by '-3'. w = 8.333333333 Simplifying w = 8.333333333Solution
w = {-10, 8.333333333}
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