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Simplifying 2(3y2 + 8)(3y2 + -8) = 0 Reorder the terms: 2(8 + 3y2)(3y2 + -8) = 0 Reorder the terms: 2(8 + 3y2)(-8 + 3y2) = 0 Multiply (8 + 3y2) * (-8 + 3y2) 2(8(-8 + 3y2) + 3y2 * (-8 + 3y2)) = 0 2((-8 * 8 + 3y2 * 8) + 3y2 * (-8 + 3y2)) = 0 2((-64 + 24y2) + 3y2 * (-8 + 3y2)) = 0 2(-64 + 24y2 + (-8 * 3y2 + 3y2 * 3y2)) = 0 2(-64 + 24y2 + (-24y2 + 9y4)) = 0 Combine like terms: 24y2 + -24y2 = 0 2(-64 + 0 + 9y4) = 0 2(-64 + 9y4) = 0 (-64 * 2 + 9y4 * 2) = 0 (-128 + 18y4) = 0 Solving -128 + 18y4 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '128' to each side of the equation. -128 + 128 + 18y4 = 0 + 128 Combine like terms: -128 + 128 = 0 0 + 18y4 = 0 + 128 18y4 = 0 + 128 Combine like terms: 0 + 128 = 128 18y4 = 128 Divide each side by '18'. y4 = 7.111111111 Simplifying y4 = 7.111111111 Reorder the terms: -7.111111111 + y4 = 7.111111111 + -7.111111111 Combine like terms: 7.111111111 + -7.111111111 = 0.000000000 -7.111111111 + y4 = 0.000000000 The solution to this equation could not be determined.
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