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Simplifying w2 = 4w + 21 Reorder the terms: w2 = 21 + 4w Solving w2 = 21 + 4w Solving for variable 'w'. Reorder the terms: -21 + -4w + w2 = 21 + 4w + -21 + -4w Reorder the terms: -21 + -4w + w2 = 21 + -21 + 4w + -4w Combine like terms: 21 + -21 = 0 -21 + -4w + w2 = 0 + 4w + -4w -21 + -4w + w2 = 4w + -4w Combine like terms: 4w + -4w = 0 -21 + -4w + w2 = 0 Factor a trinomial. (-3 + -1w)(7 + -1w) = 0Subproblem 1
Set the factor '(-3 + -1w)' equal to zero and attempt to solve: Simplifying -3 + -1w = 0 Solving -3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 0 + 3 -1w = 0 + 3 Combine like terms: 0 + 3 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Solution
w = {-3, 7}
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