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Simplifying 4x2 + 5y2 + -10y = 0 Reorder the terms: 4x2 + -10y + 5y2 = 0 Solving 4x2 + -10y + 5y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 4x2 + -10y + 10y + 5y2 = 0 + 10y Combine like terms: -10y + 10y = 0 4x2 + 0 + 5y2 = 0 + 10y 4x2 + 5y2 = 0 + 10y Remove the zero: 4x2 + 5y2 = 10y Add '-5y2' to each side of the equation. 4x2 + 5y2 + -5y2 = 10y + -5y2 Combine like terms: 5y2 + -5y2 = 0 4x2 + 0 = 10y + -5y2 4x2 = 10y + -5y2 Divide each side by '4'. x2 = 2.5y + -1.25y2 Simplifying x2 = 2.5y + -1.25y2 Reorder the terms: x2 + -2.5y + 1.25y2 = 2.5y + -2.5y + -1.25y2 + 1.25y2 Combine like terms: 2.5y + -2.5y = 0.0 x2 + -2.5y + 1.25y2 = 0.0 + -1.25y2 + 1.25y2 x2 + -2.5y + 1.25y2 = -1.25y2 + 1.25y2 Combine like terms: -1.25y2 + 1.25y2 = 0.00 x2 + -2.5y + 1.25y2 = 0.00 The solution to this equation could not be determined.
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