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Simplifying (3w + -4x)(3w + -4x) = 0 Multiply (3w + -4x) * (3w + -4x) (3w * (3w + -4x) + -4x * (3w + -4x)) = 0 ((3w * 3w + -4x * 3w) + -4x * (3w + -4x)) = 0 Reorder the terms: ((-12wx + 9w2) + -4x * (3w + -4x)) = 0 ((-12wx + 9w2) + -4x * (3w + -4x)) = 0 (-12wx + 9w2 + (3w * -4x + -4x * -4x)) = 0 (-12wx + 9w2 + (-12wx + 16x2)) = 0 Reorder the terms: (-12wx + -12wx + 9w2 + 16x2) = 0 Combine like terms: -12wx + -12wx = -24wx (-24wx + 9w2 + 16x2) = 0 Solving -24wx + 9w2 + 16x2 = 0 Solving for variable 'w'. Factor a trinomial. (3w + -4x)(3w + -4x) = 0Subproblem 1
Set the factor '(3w + -4x)' equal to zero and attempt to solve: Simplifying 3w + -4x = 0 Solving 3w + -4x = 0 Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. 3w + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 3w + 0 = 0 + 4x 3w = 0 + 4x Remove the zero: 3w = 4x Divide each side by '3'. w = 1.333333333x Simplifying w = 1.333333333xSubproblem 2
Set the factor '(3w + -4x)' equal to zero and attempt to solve: Simplifying 3w + -4x = 0 Solving 3w + -4x = 0 Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. 3w + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 3w + 0 = 0 + 4x 3w = 0 + 4x Remove the zero: 3w = 4x Divide each side by '3'. w = 1.333333333x Simplifying w = 1.333333333xSolution
w = {1.333333333x, 1.333333333x}
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