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Simplifying 64w2 + -144w + 81 = 0 Reorder the terms: 81 + -144w + 64w2 = 0 Solving 81 + -144w + 64w2 = 0 Solving for variable 'w'. Factor a trinomial. (9 + -8w)(9 + -8w) = 0Subproblem 1
Set the factor '(9 + -8w)' equal to zero and attempt to solve: Simplifying 9 + -8w = 0 Solving 9 + -8w = 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 + -8w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8w = 0 + -9 -8w = 0 + -9 Combine like terms: 0 + -9 = -9 -8w = -9 Divide each side by '-8'. w = 1.125 Simplifying w = 1.125Subproblem 2
Set the factor '(9 + -8w)' equal to zero and attempt to solve: Simplifying 9 + -8w = 0 Solving 9 + -8w = 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 + -8w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8w = 0 + -9 -8w = 0 + -9 Combine like terms: 0 + -9 = -9 -8w = -9 Divide each side by '-8'. w = 1.125 Simplifying w = 1.125Solution
w = {1.125, 1.125}
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