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Simplifying (2y + 1)(3y + -7u + -5) = 0 Reorder the terms: (1 + 2y)(3y + -7u + -5) = 0 Reorder the terms: (1 + 2y)(-5 + -7u + 3y) = 0 Multiply (1 + 2y) * (-5 + -7u + 3y) (1(-5 + -7u + 3y) + 2y * (-5 + -7u + 3y)) = 0 ((-5 * 1 + -7u * 1 + 3y * 1) + 2y * (-5 + -7u + 3y)) = 0 ((-5 + -7u + 3y) + 2y * (-5 + -7u + 3y)) = 0 (-5 + -7u + 3y + (-5 * 2y + -7u * 2y + 3y * 2y)) = 0 Reorder the terms: (-5 + -7u + 3y + (-14uy + -10y + 6y2)) = 0 (-5 + -7u + 3y + (-14uy + -10y + 6y2)) = 0 Reorder the terms: (-5 + -7u + -14uy + 3y + -10y + 6y2) = 0 Combine like terms: 3y + -10y = -7y (-5 + -7u + -14uy + -7y + 6y2) = 0 Solving -5 + -7u + -14uy + -7y + 6y2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -7u + -14uy + -7y + 5 + 6y2 = 0 + 5 Reorder the terms: -5 + 5 + -7u + -14uy + -7y + 6y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7u + -14uy + -7y + 6y2 = 0 + 5 -7u + -14uy + -7y + 6y2 = 0 + 5 Combine like terms: 0 + 5 = 5 -7u + -14uy + -7y + 6y2 = 5 Add '7y' to each side of the equation. -7u + -14uy + -7y + 7y + 6y2 = 5 + 7y Combine like terms: -7y + 7y = 0 -7u + -14uy + 0 + 6y2 = 5 + 7y -7u + -14uy + 6y2 = 5 + 7y Add '-6y2' to each side of the equation. -7u + -14uy + 6y2 + -6y2 = 5 + 7y + -6y2 Combine like terms: 6y2 + -6y2 = 0 -7u + -14uy + 0 = 5 + 7y + -6y2 -7u + -14uy = 5 + 7y + -6y2 Reorder the terms: -5 + -7u + -14uy + -7y + 6y2 = 5 + 7y + -6y2 + -5 + -7y + 6y2 Reorder the terms: -5 + -7u + -14uy + -7y + 6y2 = 5 + -5 + 7y + -7y + -6y2 + 6y2 Combine like terms: 5 + -5 = 0 -5 + -7u + -14uy + -7y + 6y2 = 0 + 7y + -7y + -6y2 + 6y2 -5 + -7u + -14uy + -7y + 6y2 = 7y + -7y + -6y2 + 6y2 Combine like terms: 7y + -7y = 0 -5 + -7u + -14uy + -7y + 6y2 = 0 + -6y2 + 6y2 -5 + -7u + -14uy + -7y + 6y2 = -6y2 + 6y2 Combine like terms: -6y2 + 6y2 = 0 -5 + -7u + -14uy + -7y + 6y2 = 0 The solution to this equation could not be determined.
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