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Simplifying (3x2 + 8y)(3x2 + -8y) = 0 Multiply (3x2 + 8y) * (3x2 + -8y) (3x2 * (3x2 + -8y) + 8y * (3x2 + -8y)) = 0 ((3x2 * 3x2 + -8y * 3x2) + 8y * (3x2 + -8y)) = 0 Reorder the terms: ((-24x2y + 9x4) + 8y * (3x2 + -8y)) = 0 ((-24x2y + 9x4) + 8y * (3x2 + -8y)) = 0 (-24x2y + 9x4 + (3x2 * 8y + -8y * 8y)) = 0 (-24x2y + 9x4 + (24x2y + -64y2)) = 0 Reorder the terms: (-24x2y + 24x2y + 9x4 + -64y2) = 0 Combine like terms: -24x2y + 24x2y = 0 (0 + 9x4 + -64y2) = 0 (9x4 + -64y2) = 0 Solving 9x4 + -64y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64y2' to each side of the equation. 9x4 + -64y2 + 64y2 = 0 + 64y2 Combine like terms: -64y2 + 64y2 = 0 9x4 + 0 = 0 + 64y2 9x4 = 0 + 64y2 Remove the zero: 9x4 = 64y2 Divide each side by '9'. x4 = 7.111111111y2 Simplifying x4 = 7.111111111y2 Combine like terms: 7.111111111y2 + -7.111111111y2 = 0.000000000 x4 + -7.111111111y2 = 0.000000000 The solution to this equation could not be determined.
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