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Simplifying (8y2 + -4y + 5) + -1(y2 + 5y + -3) = 0 Reorder the terms: (5 + -4y + 8y2) + -1(y2 + 5y + -3) = 0 Remove parenthesis around (5 + -4y + 8y2) 5 + -4y + 8y2 + -1(y2 + 5y + -3) = 0 Reorder the terms: 5 + -4y + 8y2 + -1(-3 + 5y + y2) = 0 5 + -4y + 8y2 + (-3 * -1 + 5y * -1 + y2 * -1) = 0 5 + -4y + 8y2 + (3 + -5y + -1y2) = 0 Reorder the terms: 5 + 3 + -4y + -5y + 8y2 + -1y2 = 0 Combine like terms: 5 + 3 = 8 8 + -4y + -5y + 8y2 + -1y2 = 0 Combine like terms: -4y + -5y = -9y 8 + -9y + 8y2 + -1y2 = 0 Combine like terms: 8y2 + -1y2 = 7y2 8 + -9y + 7y2 = 0 Solving 8 + -9y + 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'. 1.142857143 + -1.285714286y + y2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -1.285714286y + -1.142857143 + y2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -1.285714286y + y2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -1.285714286y + y2 = 0 + -1.142857143 -1.285714286y + y2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -1.285714286y + y2 = -1.142857143 The y term is -1.285714286y. Take half its coefficient (-0.642857143). Square it (0.4132653063) and add it to both sides. Add '0.4132653063' to each side of the equation. -1.285714286y + 0.4132653063 + y2 = -1.142857143 + 0.4132653063 Reorder the terms: 0.4132653063 + -1.285714286y + y2 = -1.142857143 + 0.4132653063 Combine like terms: -1.142857143 + 0.4132653063 = -0.7295918367 0.4132653063 + -1.285714286y + y2 = -0.7295918367 Factor a perfect square on the left side: (y + -0.642857143)(y + -0.642857143) = -0.7295918367 Can't calculate square root of the right side. The solution to this equation could not be determined.
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