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Simplifying 7y2 + 14y2 + 4y + 7 + 14y2 + 17 + 10y + 4y = 0 Reorder the terms: 7 + 17 + 4y + 10y + 4y + 7y2 + 14y2 + 14y2 = 0 Combine like terms: 7 + 17 = 24 24 + 4y + 10y + 4y + 7y2 + 14y2 + 14y2 = 0 Combine like terms: 4y + 10y = 14y 24 + 14y + 4y + 7y2 + 14y2 + 14y2 = 0 Combine like terms: 14y + 4y = 18y 24 + 18y + 7y2 + 14y2 + 14y2 = 0 Combine like terms: 7y2 + 14y2 = 21y2 24 + 18y + 21y2 + 14y2 = 0 Combine like terms: 21y2 + 14y2 = 35y2 24 + 18y + 35y2 = 0 Solving 24 + 18y + 35y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.6857142857 + 0.5142857143y + y2 = 0 Move the constant term to the right: Add '-0.6857142857' to each side of the equation. 0.6857142857 + 0.5142857143y + -0.6857142857 + y2 = 0 + -0.6857142857 Reorder the terms: 0.6857142857 + -0.6857142857 + 0.5142857143y + y2 = 0 + -0.6857142857 Combine like terms: 0.6857142857 + -0.6857142857 = 0.0000000000 0.0000000000 + 0.5142857143y + y2 = 0 + -0.6857142857 0.5142857143y + y2 = 0 + -0.6857142857 Combine like terms: 0 + -0.6857142857 = -0.6857142857 0.5142857143y + y2 = -0.6857142857 The y term is 0.5142857143y. Take half its coefficient (0.2571428572). Square it (0.06612244901) and add it to both sides. Add '0.06612244901' to each side of the equation. 0.5142857143y + 0.06612244901 + y2 = -0.6857142857 + 0.06612244901 Reorder the terms: 0.06612244901 + 0.5142857143y + y2 = -0.6857142857 + 0.06612244901 Combine like terms: -0.6857142857 + 0.06612244901 = -0.61959183669 0.06612244901 + 0.5142857143y + y2 = -0.61959183669 Factor a perfect square on the left side: (y + 0.2571428572)(y + 0.2571428572) = -0.61959183669 Can't calculate square root of the right side. The solution to this equation could not be determined.
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