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Simplifying -2(4y + -3) * 3y = 11 Reorder the terms: -2(-3 + 4y) * 3y = 11 Reorder the terms for easier multiplication: -2 * 3y(-3 + 4y) = 11 Multiply -2 * 3 -6y(-3 + 4y) = 11 (-3 * -6y + 4y * -6y) = 11 (18y + -24y2) = 11 Solving 18y + -24y2 = 11 Solving for variable 'y'. Reorder the terms: -11 + 18y + -24y2 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 + 18y + -24y2 = 0 Begin completing the square. Divide all terms by -24 the coefficient of the squared term: Divide each side by '-24'. 0.4583333333 + -0.75y + y2 = 0 Move the constant term to the right: Add '-0.4583333333' to each side of the equation. 0.4583333333 + -0.75y + -0.4583333333 + y2 = 0 + -0.4583333333 Reorder the terms: 0.4583333333 + -0.4583333333 + -0.75y + y2 = 0 + -0.4583333333 Combine like terms: 0.4583333333 + -0.4583333333 = 0.0000000000 0.0000000000 + -0.75y + y2 = 0 + -0.4583333333 -0.75y + y2 = 0 + -0.4583333333 Combine like terms: 0 + -0.4583333333 = -0.4583333333 -0.75y + y2 = -0.4583333333 The y term is -0.75y. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75y + 0.140625 + y2 = -0.4583333333 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = -0.4583333333 + 0.140625 Combine like terms: -0.4583333333 + 0.140625 = -0.3177083333 0.140625 + -0.75y + y2 = -0.3177083333 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = -0.3177083333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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