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Simplifying 4x2 + -1y2 + -10y + -25 = 0 Reorder the terms: -25 + 4x2 + -10y + -1y2 = 0 Solving -25 + 4x2 + -10y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 4x2 + -10y + 25 + -1y2 = 0 + 25 Reorder the terms: -25 + 25 + 4x2 + -10y + -1y2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4x2 + -10y + -1y2 = 0 + 25 4x2 + -10y + -1y2 = 0 + 25 Combine like terms: 0 + 25 = 25 4x2 + -10y + -1y2 = 25 Add '10y' to each side of the equation. 4x2 + -10y + 10y + -1y2 = 25 + 10y Combine like terms: -10y + 10y = 0 4x2 + 0 + -1y2 = 25 + 10y 4x2 + -1y2 = 25 + 10y Add 'y2' to each side of the equation. 4x2 + -1y2 + y2 = 25 + 10y + y2 Combine like terms: -1y2 + y2 = 0 4x2 + 0 = 25 + 10y + y2 4x2 = 25 + 10y + y2 Divide each side by '4'. x2 = 6.25 + 2.5y + 0.25y2 Simplifying x2 = 6.25 + 2.5y + 0.25y2 Reorder the terms: -6.25 + x2 + -2.5y + -0.25y2 = 6.25 + 2.5y + 0.25y2 + -6.25 + -2.5y + -0.25y2 Reorder the terms: -6.25 + x2 + -2.5y + -0.25y2 = 6.25 + -6.25 + 2.5y + -2.5y + 0.25y2 + -0.25y2 Combine like terms: 6.25 + -6.25 = 0.00 -6.25 + x2 + -2.5y + -0.25y2 = 0.00 + 2.5y + -2.5y + 0.25y2 + -0.25y2 -6.25 + x2 + -2.5y + -0.25y2 = 2.5y + -2.5y + 0.25y2 + -0.25y2 Combine like terms: 2.5y + -2.5y = 0.0 -6.25 + x2 + -2.5y + -0.25y2 = 0.0 + 0.25y2 + -0.25y2 -6.25 + x2 + -2.5y + -0.25y2 = 0.25y2 + -0.25y2 Combine like terms: 0.25y2 + -0.25y2 = 0.00 -6.25 + x2 + -2.5y + -0.25y2 = 0.00 The solution to this equation could not be determined.
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