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Simplifying 4x2 + 25y2 + -50y = 75 Reorder the terms: 4x2 + -50y + 25y2 = 75 Solving 4x2 + -50y + 25y2 = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50y' to each side of the equation. 4x2 + -50y + 50y + 25y2 = 75 + 50y Combine like terms: -50y + 50y = 0 4x2 + 0 + 25y2 = 75 + 50y 4x2 + 25y2 = 75 + 50y Add '-25y2' to each side of the equation. 4x2 + 25y2 + -25y2 = 75 + 50y + -25y2 Combine like terms: 25y2 + -25y2 = 0 4x2 + 0 = 75 + 50y + -25y2 4x2 = 75 + 50y + -25y2 Divide each side by '4'. x2 = 18.75 + 12.5y + -6.25y2 Simplifying x2 = 18.75 + 12.5y + -6.25y2 Reorder the terms: -18.75 + x2 + -12.5y + 6.25y2 = 18.75 + 12.5y + -6.25y2 + -18.75 + -12.5y + 6.25y2 Reorder the terms: -18.75 + x2 + -12.5y + 6.25y2 = 18.75 + -18.75 + 12.5y + -12.5y + -6.25y2 + 6.25y2 Combine like terms: 18.75 + -18.75 = 0.00 -18.75 + x2 + -12.5y + 6.25y2 = 0.00 + 12.5y + -12.5y + -6.25y2 + 6.25y2 -18.75 + x2 + -12.5y + 6.25y2 = 12.5y + -12.5y + -6.25y2 + 6.25y2 Combine like terms: 12.5y + -12.5y = 0.0 -18.75 + x2 + -12.5y + 6.25y2 = 0.0 + -6.25y2 + 6.25y2 -18.75 + x2 + -12.5y + 6.25y2 = -6.25y2 + 6.25y2 Combine like terms: -6.25y2 + 6.25y2 = 0.00 -18.75 + x2 + -12.5y + 6.25y2 = 0.00 The solution to this equation could not be determined.
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