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Simplifying 5y2 + -40y + 100 = 16 Reorder the terms: 100 + -40y + 5y2 = 16 Solving 100 + -40y + 5y2 = 16 Solving for variable 'y'. Reorder the terms: 100 + -16 + -40y + 5y2 = 16 + -16 Combine like terms: 100 + -16 = 84 84 + -40y + 5y2 = 16 + -16 Combine like terms: 16 + -16 = 0 84 + -40y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 16.8 + -8y + y2 = 0 Move the constant term to the right: Add '-16.8' to each side of the equation. 16.8 + -8y + -16.8 + y2 = 0 + -16.8 Reorder the terms: 16.8 + -16.8 + -8y + y2 = 0 + -16.8 Combine like terms: 16.8 + -16.8 = 0.0 0.0 + -8y + y2 = 0 + -16.8 -8y + y2 = 0 + -16.8 Combine like terms: 0 + -16.8 = -16.8 -8y + y2 = -16.8 The y term is -8y. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8y + 16 + y2 = -16.8 + 16 Reorder the terms: 16 + -8y + y2 = -16.8 + 16 Combine like terms: -16.8 + 16 = -0.8 16 + -8y + y2 = -0.8 Factor a perfect square on the left side: (y + -4)(y + -4) = -0.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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