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Simplifying 0.08y(y + -4) + 0.06y = 0.12y + -0.05(10) Reorder the terms: 0.08y(-4 + y) + 0.06y = 0.12y + -0.05(10) (-4 * 0.08y + y * 0.08y) + 0.06y = 0.12y + -0.05(10) (-0.32y + 0.08y2) + 0.06y = 0.12y + -0.05(10) Reorder the terms: -0.32y + 0.06y + 0.08y2 = 0.12y + -0.05(10) Combine like terms: -0.32y + 0.06y = -0.26y -0.26y + 0.08y2 = 0.12y + -0.05(10) Multiply -0.05 * 10 -0.26y + 0.08y2 = 0.12y + -0.5 Reorder the terms: -0.26y + 0.08y2 = -0.5 + 0.12y Solving -0.26y + 0.08y2 = -0.5 + 0.12y Solving for variable 'y'. Reorder the terms: 0.5 + -0.26y + -0.12y + 0.08y2 = -0.5 + 0.12y + 0.5 + -0.12y Combine like terms: -0.26y + -0.12y = -0.38y 0.5 + -0.38y + 0.08y2 = -0.5 + 0.12y + 0.5 + -0.12y Reorder the terms: 0.5 + -0.38y + 0.08y2 = -0.5 + 0.5 + 0.12y + -0.12y Combine like terms: -0.5 + 0.5 = 0.0 0.5 + -0.38y + 0.08y2 = 0.0 + 0.12y + -0.12y 0.5 + -0.38y + 0.08y2 = 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 0.5 + -0.38y + 0.08y2 = 0.00 Begin completing the square. Divide all terms by 0.08 the coefficient of the squared term: Divide each side by '0.08'. 6.25 + -4.75y + y2 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + -4.75y + -6.25 + y2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + -4.75y + y2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + -4.75y + y2 = 0 + -6.25 -4.75y + y2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 -4.75y + y2 = -6.25 The y term is -4.75y. Take half its coefficient (-2.375). Square it (5.640625) and add it to both sides. Add '5.640625' to each side of the equation. -4.75y + 5.640625 + y2 = -6.25 + 5.640625 Reorder the terms: 5.640625 + -4.75y + y2 = -6.25 + 5.640625 Combine like terms: -6.25 + 5.640625 = -0.609375 5.640625 + -4.75y + y2 = -0.609375 Factor a perfect square on the left side: (y + -2.375)(y + -2.375) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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