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Simplifying w(13w + 4) = 9 Reorder the terms: w(4 + 13w) = 9 (4 * w + 13w * w) = 9 (4w + 13w2) = 9 Solving 4w + 13w2 = 9 Solving for variable 'w'. Reorder the terms: -9 + 4w + 13w2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 4w + 13w2 = 0 Factor a trinomial. (-1 + -1w)(9 + -13w) = 0Subproblem 1
Set the factor '(-1 + -1w)' equal to zero and attempt to solve: Simplifying -1 + -1w = 0 Solving -1 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1w = 0 + 1 -1w = 0 + 1 Combine like terms: 0 + 1 = 1 -1w = 1 Divide each side by '-1'. w = -1 Simplifying w = -1Subproblem 2
Set the factor '(9 + -13w)' equal to zero and attempt to solve: Simplifying 9 + -13w = 0 Solving 9 + -13w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -13w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -13w = 0 + -9 -13w = 0 + -9 Combine like terms: 0 + -9 = -9 -13w = -9 Divide each side by '-13'. w = 0.6923076923 Simplifying w = 0.6923076923Solution
w = {-1, 0.6923076923}
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