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Simplifying w2 + 4w + -525 = 0 Reorder the terms: -525 + 4w + w2 = 0 Solving -525 + 4w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-25 + -1w)(21 + -1w) = 0Subproblem 1
Set the factor '(-25 + -1w)' equal to zero and attempt to solve: Simplifying -25 + -1w = 0 Solving -25 + -1w = 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 + -1w = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1w = 0 + 25 -1w = 0 + 25 Combine like terms: 0 + 25 = 25 -1w = 25 Divide each side by '-1'. w = -25 Simplifying w = -25Subproblem 2
Set the factor '(21 + -1w)' equal to zero and attempt to solve: Simplifying 21 + -1w = 0 Solving 21 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1w = 0 + -21 -1w = 0 + -21 Combine like terms: 0 + -21 = -21 -1w = -21 Divide each side by '-1'. w = 21 Simplifying w = 21Solution
w = {-25, 21}
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