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Simplifying 7y2 + -14y = -10y + -5 Reorder the terms: -14y + 7y2 = -10y + -5 Reorder the terms: -14y + 7y2 = -5 + -10y Solving -14y + 7y2 = -5 + -10y Solving for variable 'y'. Reorder the terms: 5 + -14y + 10y + 7y2 = -5 + -10y + 5 + 10y Combine like terms: -14y + 10y = -4y 5 + -4y + 7y2 = -5 + -10y + 5 + 10y Reorder the terms: 5 + -4y + 7y2 = -5 + 5 + -10y + 10y Combine like terms: -5 + 5 = 0 5 + -4y + 7y2 = 0 + -10y + 10y 5 + -4y + 7y2 = -10y + 10y Combine like terms: -10y + 10y = 0 5 + -4y + 7y2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + -0.5714285714y + y2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -0.5714285714y + -0.7142857143 + y2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -0.5714285714y + y2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -0.5714285714y + y2 = 0 + -0.7142857143 -0.5714285714y + y2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -0.5714285714y + y2 = -0.7142857143 The y term is -0.5714285714y. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714y + 0.08163265305 + y2 = -0.7142857143 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714y + y2 = -0.7142857143 + 0.08163265305 Combine like terms: -0.7142857143 + 0.08163265305 = -0.63265306125 0.08163265305 + -0.5714285714y + y2 = -0.63265306125 Factor a perfect square on the left side: (y + -0.2857142857)(y + -0.2857142857) = -0.63265306125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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