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Simplifying X2 + 5x + 2y2 + -10y = 0 Reorder the terms: X2 + 5x + -10y + 2y2 = 0 Solving X2 + 5x + -10y + 2y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5x' to each side of the equation. X2 + 5x + -10y + -5x + 2y2 = 0 + -5x Reorder the terms: X2 + 5x + -5x + -10y + 2y2 = 0 + -5x Combine like terms: 5x + -5x = 0 X2 + 0 + -10y + 2y2 = 0 + -5x X2 + -10y + 2y2 = 0 + -5x Remove the zero: X2 + -10y + 2y2 = -5x Add '10y' to each side of the equation. X2 + -10y + 10y + 2y2 = -5x + 10y Combine like terms: -10y + 10y = 0 X2 + 0 + 2y2 = -5x + 10y X2 + 2y2 = -5x + 10y Add '-2y2' to each side of the equation. X2 + 2y2 + -2y2 = -5x + 10y + -2y2 Combine like terms: 2y2 + -2y2 = 0 X2 + 0 = -5x + 10y + -2y2 X2 = -5x + 10y + -2y2 Simplifying X2 = -5x + 10y + -2y2 Reorder the terms: X2 + 5x + -10y + 2y2 = -5x + 5x + 10y + -10y + -2y2 + 2y2 Combine like terms: -5x + 5x = 0 X2 + 5x + -10y + 2y2 = 0 + 10y + -10y + -2y2 + 2y2 X2 + 5x + -10y + 2y2 = 10y + -10y + -2y2 + 2y2 Combine like terms: 10y + -10y = 0 X2 + 5x + -10y + 2y2 = 0 + -2y2 + 2y2 X2 + 5x + -10y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 X2 + 5x + -10y + 2y2 = 0 The solution to this equation could not be determined.
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