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Simplifying (4x + 3w)(4x + -3w) = 0 Reorder the terms: (3w + 4x)(4x + -3w) = 0 Reorder the terms: (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 = 0 (0 + -9w2 + 16x2) = 0 (-9w2 + 16x2) = 0 Solving -9w2 + 16x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16x2' to each side of the equation. -9w2 + 16x2 + -16x2 = 0 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -9w2 + 0 = 0 + -16x2 -9w2 = 0 + -16x2 Remove the zero: -9w2 = -16x2 Divide each side by '-9'. w2 = 1.777777778x2 Simplifying w2 = 1.777777778x2 Take the square root of each side: w = {-1.333333333x, 1.333333333x}
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