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Simplifying 4x2 + 25y2 + 250y + 525 = 0 Reorder the terms: 525 + 4x2 + 250y + 25y2 = 0 Solving 525 + 4x2 + 250y + 25y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-525' to each side of the equation. 525 + 4x2 + 250y + -525 + 25y2 = 0 + -525 Reorder the terms: 525 + -525 + 4x2 + 250y + 25y2 = 0 + -525 Combine like terms: 525 + -525 = 0 0 + 4x2 + 250y + 25y2 = 0 + -525 4x2 + 250y + 25y2 = 0 + -525 Combine like terms: 0 + -525 = -525 4x2 + 250y + 25y2 = -525 Add '-250y' to each side of the equation. 4x2 + 250y + -250y + 25y2 = -525 + -250y Combine like terms: 250y + -250y = 0 4x2 + 0 + 25y2 = -525 + -250y 4x2 + 25y2 = -525 + -250y Add '-25y2' to each side of the equation. 4x2 + 25y2 + -25y2 = -525 + -250y + -25y2 Combine like terms: 25y2 + -25y2 = 0 4x2 + 0 = -525 + -250y + -25y2 4x2 = -525 + -250y + -25y2 Divide each side by '4'. x2 = -131.25 + -62.5y + -6.25y2 Simplifying x2 = -131.25 + -62.5y + -6.25y2 Reorder the terms: 131.25 + x2 + 62.5y + 6.25y2 = -131.25 + -62.5y + -6.25y2 + 131.25 + 62.5y + 6.25y2 Reorder the terms: 131.25 + x2 + 62.5y + 6.25y2 = -131.25 + 131.25 + -62.5y + 62.5y + -6.25y2 + 6.25y2 Combine like terms: -131.25 + 131.25 = 0.00 131.25 + x2 + 62.5y + 6.25y2 = 0.00 + -62.5y + 62.5y + -6.25y2 + 6.25y2 131.25 + x2 + 62.5y + 6.25y2 = -62.5y + 62.5y + -6.25y2 + 6.25y2 Combine like terms: -62.5y + 62.5y = 0.0 131.25 + x2 + 62.5y + 6.25y2 = 0.0 + -6.25y2 + 6.25y2 131.25 + x2 + 62.5y + 6.25y2 = -6.25y2 + 6.25y2 Combine like terms: -6.25y2 + 6.25y2 = 0.00 131.25 + x2 + 62.5y + 6.25y2 = 0.00 The solution to this equation could not be determined.
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