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Simplifying 4y + -1(3 + y) * y = 5 Reorder the terms for easier multiplication: 4y + -1y(3 + y) = 5 4y + (3 * -1y + y * -1y) = 5 4y + (-3y + -1y2) = 5 Combine like terms: 4y + -3y = 1y 1y + -1y2 = 5 Solving 1y + -1y2 = 5 Solving for variable 'y'. Reorder the terms: -5 + 1y + -1y2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 1y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -1y + y2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -1y + -5 + y2 = 0 + -5 Reorder the terms: 5 + -5 + -1y + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y + y2 = 0 + -5 -1y + y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1y + y2 = -5 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = -5 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 0.25 + -1y + y2 = -4.75 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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