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