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Simplifying (9y2) + -1(1y) + (3) = 0 Remove parenthesis around (1y) (9y2) + -1 * 1y + (3) = 0 Multiply -1 * 1 (9y2) + -1y + (3) = 0 (9y2) + -1y + 3 = 0 Reorder the terms: 3 + -1y + (9y2) = 0 Solving 3 + -1y + (9y2) = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.3333333333 + -0.1111111111y + y2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.1111111111y + -0.3333333333 + y2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.1111111111y + y2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.1111111111y + y2 = 0 + -0.3333333333 -0.1111111111y + y2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.1111111111y + y2 = -0.3333333333 The y term is -0.1111111111y. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111y + 0.003086419752 + y2 = -0.3333333333 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111y + y2 = -0.3333333333 + 0.003086419752 Combine like terms: -0.3333333333 + 0.003086419752 = -0.330246913548 0.003086419752 + -0.1111111111y + y2 = -0.330246913548 Factor a perfect square on the left side: ((y) + -0.05555555555)((y) + -0.05555555555) = -0.330246913548 Can't calculate square root of the right side. The solution to this equation could not be determined.
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