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Simplifying (2y2 + -4y + 8) + -1(y2 + -5y + -7) = 0 Reorder the terms: (8 + -4y + 2y2) + -1(y2 + -5y + -7) = 0 Remove parenthesis around (8 + -4y + 2y2) 8 + -4y + 2y2 + -1(y2 + -5y + -7) = 0 Reorder the terms: 8 + -4y + 2y2 + -1(-7 + -5y + y2) = 0 8 + -4y + 2y2 + (-7 * -1 + -5y * -1 + y2 * -1) = 0 8 + -4y + 2y2 + (7 + 5y + -1y2) = 0 Reorder the terms: 8 + 7 + -4y + 5y + 2y2 + -1y2 = 0 Combine like terms: 8 + 7 = 15 15 + -4y + 5y + 2y2 + -1y2 = 0 Combine like terms: -4y + 5y = 1y 15 + 1y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 15 + 1y + 1y2 = 0 Solving 15 + 1y + 1y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 1y + -15 + y2 = 0 + -15 Reorder the terms: 15 + -15 + 1y + y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1y + y2 = 0 + -15 1y + y2 = 0 + -15 Combine like terms: 0 + -15 = -15 1y + y2 = -15 The y term is 1y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. y + 0.25 + y2 = -15 + 0.25 Reorder the terms: 0.25 + y + y2 = -15 + 0.25 Combine like terms: -15 + 0.25 = -14.75 0.25 + y + y2 = -14.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -14.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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