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Simplifying (-8y2 + -4y + 4) + -1(-7y2 + 8y + 8) + (8y2 + 7y + 5) = 0 Reorder the terms: (4 + -4y + -8y2) + -1(-7y2 + 8y + 8) + (8y2 + 7y + 5) = 0 Remove parenthesis around (4 + -4y + -8y2) 4 + -4y + -8y2 + -1(-7y2 + 8y + 8) + (8y2 + 7y + 5) = 0 Reorder the terms: 4 + -4y + -8y2 + -1(8 + 8y + -7y2) + (8y2 + 7y + 5) = 0 4 + -4y + -8y2 + (8 * -1 + 8y * -1 + -7y2 * -1) + (8y2 + 7y + 5) = 0 4 + -4y + -8y2 + (-8 + -8y + 7y2) + (8y2 + 7y + 5) = 0 Reorder the terms: 4 + -4y + -8y2 + -8 + -8y + 7y2 + (5 + 7y + 8y2) = 0 Remove parenthesis around (5 + 7y + 8y2) 4 + -4y + -8y2 + -8 + -8y + 7y2 + 5 + 7y + 8y2 = 0 Reorder the terms: 4 + -8 + 5 + -4y + -8y + 7y + -8y2 + 7y2 + 8y2 = 0 Combine like terms: 4 + -8 = -4 -4 + 5 + -4y + -8y + 7y + -8y2 + 7y2 + 8y2 = 0 Combine like terms: -4 + 5 = 1 1 + -4y + -8y + 7y + -8y2 + 7y2 + 8y2 = 0 Combine like terms: -4y + -8y = -12y 1 + -12y + 7y + -8y2 + 7y2 + 8y2 = 0 Combine like terms: -12y + 7y = -5y 1 + -5y + -8y2 + 7y2 + 8y2 = 0 Combine like terms: -8y2 + 7y2 = -1y2 1 + -5y + -1y2 + 8y2 = 0 Combine like terms: -1y2 + 8y2 = 7y2 1 + -5y + 7y2 = 0 Solving 1 + -5y + 7y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.1428571429 + -0.7142857143y + y2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + -0.7142857143y + -0.1428571429 + y2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + -0.7142857143y + y2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + -0.7142857143y + y2 = 0 + -0.1428571429 -0.7142857143y + y2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 -0.7142857143y + y2 = -0.1428571429 The y term is -0.7142857143y. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143y + 0.1275510204 + y2 = -0.1428571429 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143y + y2 = -0.1428571429 + 0.1275510204 Combine like terms: -0.1428571429 + 0.1275510204 = -0.0153061225 0.1275510204 + -0.7142857143y + y2 = -0.0153061225 Factor a perfect square on the left side: (y + -0.3571428572)(y + -0.3571428572) = -0.0153061225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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