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Simplifying x2 + 18xw + 81w2 = 0 Reorder the terms: 18wx + 81w2 + x2 = 0 Solving 18wx + 81w2 + x2 = 0 Solving for variable 'w'. Factor a trinomial. (9w + x)(9w + x) = 0Subproblem 1
Set the factor '(9w + x)' equal to zero and attempt to solve: Simplifying 9w + x = 0 Solving 9w + x = 0 Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. 9w + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 9w + 0 = 0 + -1x 9w = 0 + -1x Remove the zero: 9w = -1x Divide each side by '9'. w = -0.1111111111x Simplifying w = -0.1111111111xSubproblem 2
Set the factor '(9w + x)' equal to zero and attempt to solve: Simplifying 9w + x = 0 Solving 9w + x = 0 Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. 9w + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 9w + 0 = 0 + -1x 9w = 0 + -1x Remove the zero: 9w = -1x Divide each side by '9'. w = -0.1111111111x Simplifying w = -0.1111111111xSolution
w = {-0.1111111111x, -0.1111111111x}
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