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Simplifying w2 + 7w = 638 Reorder the terms: 7w + w2 = 638 Solving 7w + w2 = 638 Solving for variable 'w'. Reorder the terms: -638 + 7w + w2 = 638 + -638 Combine like terms: 638 + -638 = 0 -638 + 7w + w2 = 0 Factor a trinomial. (-29 + -1w)(22 + -1w) = 0Subproblem 1
Set the factor '(-29 + -1w)' equal to zero and attempt to solve: Simplifying -29 + -1w = 0 Solving -29 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1w = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1w = 0 + 29 -1w = 0 + 29 Combine like terms: 0 + 29 = 29 -1w = 29 Divide each side by '-1'. w = -29 Simplifying w = -29Subproblem 2
Set the factor '(22 + -1w)' equal to zero and attempt to solve: Simplifying 22 + -1w = 0 Solving 22 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1w = 0 + -22 -1w = 0 + -22 Combine like terms: 0 + -22 = -22 -1w = -22 Divide each side by '-1'. w = 22 Simplifying w = 22Solution
w = {-29, 22}
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