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Simplifying (3y + -3g)(3y + 3g) = 0 Reorder the terms: (-3g + 3y)(3y + 3g) = 0 Reorder the terms: (-3g + 3y)(3g + 3y) = 0 Multiply (-3g + 3y) * (3g + 3y) (-3g * (3g + 3y) + 3y * (3g + 3y)) = 0 ((3g * -3g + 3y * -3g) + 3y * (3g + 3y)) = 0 Reorder the terms: ((-9gy + -9g2) + 3y * (3g + 3y)) = 0 ((-9gy + -9g2) + 3y * (3g + 3y)) = 0 (-9gy + -9g2 + (3g * 3y + 3y * 3y)) = 0 (-9gy + -9g2 + (9gy + 9y2)) = 0 Reorder the terms: (-9gy + 9gy + -9g2 + 9y2) = 0 Combine like terms: -9gy + 9gy = 0 (0 + -9g2 + 9y2) = 0 (-9g2 + 9y2) = 0 Solving -9g2 + 9y2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9y2' to each side of the equation. -9g2 + 9y2 + -9y2 = 0 + -9y2 Combine like terms: 9y2 + -9y2 = 0 -9g2 + 0 = 0 + -9y2 -9g2 = 0 + -9y2 Remove the zero: -9g2 = -9y2 Divide each side by '-9'. g2 = y2 Simplifying g2 = y2 Take the square root of each side: g = {-1y, y}
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