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Simplifying 5y2 + -24y + 533 = 0 Reorder the terms: 533 + -24y + 5y2 = 0 Solving 533 + -24y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 106.6 + -4.8y + y2 = 0 Move the constant term to the right: Add '-106.6' to each side of the equation. 106.6 + -4.8y + -106.6 + y2 = 0 + -106.6 Reorder the terms: 106.6 + -106.6 + -4.8y + y2 = 0 + -106.6 Combine like terms: 106.6 + -106.6 = 0.0 0.0 + -4.8y + y2 = 0 + -106.6 -4.8y + y2 = 0 + -106.6 Combine like terms: 0 + -106.6 = -106.6 -4.8y + y2 = -106.6 The y term is -4.8y. Take half its coefficient (-2.4). Square it (5.76) and add it to both sides. Add '5.76' to each side of the equation. -4.8y + 5.76 + y2 = -106.6 + 5.76 Reorder the terms: 5.76 + -4.8y + y2 = -106.6 + 5.76 Combine like terms: -106.6 + 5.76 = -100.84 5.76 + -4.8y + y2 = -100.84 Factor a perfect square on the left side: (y + -2.4)(y + -2.4) = -100.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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