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Simplifying w(2 + 3w) = 16 (2 * w + 3w * w) = 16 (2w + 3w2) = 16 Solving 2w + 3w2 = 16 Solving for variable 'w'. Reorder the terms: -16 + 2w + 3w2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 2w + 3w2 = 0 Factor a trinomial. (-8 + -3w)(2 + -1w) = 0Subproblem 1
Set the factor '(-8 + -3w)' equal to zero and attempt to solve: Simplifying -8 + -3w = 0 Solving -8 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = 0 + 8 -3w = 0 + 8 Combine like terms: 0 + 8 = 8 -3w = 8 Divide each side by '-3'. w = -2.666666667 Simplifying w = -2.666666667Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {-2.666666667, 2}
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