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Simplifying 4x2 + 4y2 + -40y + -100 = 0 Reorder the terms: -100 + 4x2 + -40y + 4y2 = 0 Solving -100 + 4x2 + -40y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 4x2 + -40y + 100 + 4y2 = 0 + 100 Reorder the terms: -100 + 100 + 4x2 + -40y + 4y2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 4x2 + -40y + 4y2 = 0 + 100 4x2 + -40y + 4y2 = 0 + 100 Combine like terms: 0 + 100 = 100 4x2 + -40y + 4y2 = 100 Add '40y' to each side of the equation. 4x2 + -40y + 40y + 4y2 = 100 + 40y Combine like terms: -40y + 40y = 0 4x2 + 0 + 4y2 = 100 + 40y 4x2 + 4y2 = 100 + 40y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = 100 + 40y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = 100 + 40y + -4y2 4x2 = 100 + 40y + -4y2 Divide each side by '4'. x2 = 25 + 10y + -1y2 Simplifying x2 = 25 + 10y + -1y2 Reorder the terms: -25 + x2 + -10y + y2 = 25 + 10y + -1y2 + -25 + -10y + y2 Reorder the terms: -25 + x2 + -10y + y2 = 25 + -25 + 10y + -10y + -1y2 + y2 Combine like terms: 25 + -25 = 0 -25 + x2 + -10y + y2 = 0 + 10y + -10y + -1y2 + y2 -25 + x2 + -10y + y2 = 10y + -10y + -1y2 + y2 Combine like terms: 10y + -10y = 0 -25 + x2 + -10y + y2 = 0 + -1y2 + y2 -25 + x2 + -10y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -25 + x2 + -10y + y2 = 0 The solution to this equation could not be determined.
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