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Simplifying 4X2 + -1y2 + 6y = 25 Reorder the terms: 4X2 + 6y + -1y2 = 25 Solving 4X2 + 6y + -1y2 = 25 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6y' to each side of the equation. 4X2 + 6y + -6y + -1y2 = 25 + -6y Combine like terms: 6y + -6y = 0 4X2 + 0 + -1y2 = 25 + -6y 4X2 + -1y2 = 25 + -6y Add 'y2' to each side of the equation. 4X2 + -1y2 + y2 = 25 + -6y + y2 Combine like terms: -1y2 + y2 = 0 4X2 + 0 = 25 + -6y + y2 4X2 = 25 + -6y + y2 Divide each side by '4'. X2 = 6.25 + -1.5y + 0.25y2 Simplifying X2 = 6.25 + -1.5y + 0.25y2 Reorder the terms: -6.25 + X2 + 1.5y + -0.25y2 = 6.25 + -1.5y + 0.25y2 + -6.25 + 1.5y + -0.25y2 Reorder the terms: -6.25 + X2 + 1.5y + -0.25y2 = 6.25 + -6.25 + -1.5y + 1.5y + 0.25y2 + -0.25y2 Combine like terms: 6.25 + -6.25 = 0.00 -6.25 + X2 + 1.5y + -0.25y2 = 0.00 + -1.5y + 1.5y + 0.25y2 + -0.25y2 -6.25 + X2 + 1.5y + -0.25y2 = -1.5y + 1.5y + 0.25y2 + -0.25y2 Combine like terms: -1.5y + 1.5y = 0.0 -6.25 + X2 + 1.5y + -0.25y2 = 0.0 + 0.25y2 + -0.25y2 -6.25 + X2 + 1.5y + -0.25y2 = 0.25y2 + -0.25y2 Combine like terms: 0.25y2 + -0.25y2 = 0.00 -6.25 + X2 + 1.5y + -0.25y2 = 0.00 The solution to this equation could not be determined.
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