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Simplifying 5y2 + 8y + -14y + 22 = 0 Reorder the terms: 22 + 8y + -14y + 5y2 = 0 Combine like terms: 8y + -14y = -6y 22 + -6y + 5y2 = 0 Solving 22 + -6y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.4 + -1.2y + y2 = 0 Move the constant term to the right: Add '-4.4' to each side of the equation. 4.4 + -1.2y + -4.4 + y2 = 0 + -4.4 Reorder the terms: 4.4 + -4.4 + -1.2y + y2 = 0 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -1.2y + y2 = 0 + -4.4 -1.2y + y2 = 0 + -4.4 Combine like terms: 0 + -4.4 = -4.4 -1.2y + y2 = -4.4 The y term is -1.2y. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2y + 0.36 + y2 = -4.4 + 0.36 Reorder the terms: 0.36 + -1.2y + y2 = -4.4 + 0.36 Combine like terms: -4.4 + 0.36 = -4.04 0.36 + -1.2y + y2 = -4.04 Factor a perfect square on the left side: (y + -0.6)(y + -0.6) = -4.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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