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Simplifying -2y(-3y) + 8 = 8 + -5y + -12 Remove parenthesis around (-3y) -2y * -3y + 8 = 8 + -5y + -12 Reorder the terms for easier multiplication: -2 * -3y * y + 8 = 8 + -5y + -12 Multiply -2 * -3 6y * y + 8 = 8 + -5y + -12 Multiply y * y 6y2 + 8 = 8 + -5y + -12 Reorder the terms: 8 + 6y2 = 8 + -5y + -12 Reorder the terms: 8 + 6y2 = 8 + -12 + -5y Combine like terms: 8 + -12 = -4 8 + 6y2 = -4 + -5y Solving 8 + 6y2 = -4 + -5y Solving for variable 'y'. Reorder the terms: 8 + 4 + 5y + 6y2 = -4 + -5y + 4 + 5y Combine like terms: 8 + 4 = 12 12 + 5y + 6y2 = -4 + -5y + 4 + 5y Reorder the terms: 12 + 5y + 6y2 = -4 + 4 + -5y + 5y Combine like terms: -4 + 4 = 0 12 + 5y + 6y2 = 0 + -5y + 5y 12 + 5y + 6y2 = -5y + 5y Combine like terms: -5y + 5y = 0 12 + 5y + 6y2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2 + 0.8333333333y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.8333333333y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + 0.8333333333y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.8333333333y + y2 = 0 + -2 0.8333333333y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.8333333333y + y2 = -2 The y term is 0.8333333333y. Take half its coefficient (0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. 0.8333333333y + 0.1736111111 + y2 = -2 + 0.1736111111 Reorder the terms: 0.1736111111 + 0.8333333333y + y2 = -2 + 0.1736111111 Combine like terms: -2 + 0.1736111111 = -1.8263888889 0.1736111111 + 0.8333333333y + y2 = -1.8263888889 Factor a perfect square on the left side: (y + 0.4166666667)(y + 0.4166666667) = -1.8263888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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