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Simplifying 9w2 + 64 = 48w Reorder the terms: 64 + 9w2 = 48w Solving 64 + 9w2 = 48w Solving for variable 'w'. Reorder the terms: 64 + -48w + 9w2 = 48w + -48w Combine like terms: 48w + -48w = 0 64 + -48w + 9w2 = 0 Factor a trinomial. (8 + -3w)(8 + -3w) = 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 '(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 = 2.666666667Solution
w = {2.666666667, 2.666666667}
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