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Simplifying 4x2 + 4y2 + 15 + -20y = 0 Reorder the terms: 15 + 4x2 + -20y + 4y2 = 0 Solving 15 + 4x2 + -20y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 4x2 + -20y + -15 + 4y2 = 0 + -15 Reorder the terms: 15 + -15 + 4x2 + -20y + 4y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x2 + -20y + 4y2 = 0 + -15 4x2 + -20y + 4y2 = 0 + -15 Combine like terms: 0 + -15 = -15 4x2 + -20y + 4y2 = -15 Add '20y' to each side of the equation. 4x2 + -20y + 20y + 4y2 = -15 + 20y Combine like terms: -20y + 20y = 0 4x2 + 0 + 4y2 = -15 + 20y 4x2 + 4y2 = -15 + 20y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = -15 + 20y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = -15 + 20y + -4y2 4x2 = -15 + 20y + -4y2 Divide each side by '4'. x2 = -3.75 + 5y + -1y2 Simplifying x2 = -3.75 + 5y + -1y2 Reorder the terms: 3.75 + x2 + -5y + y2 = -3.75 + 5y + -1y2 + 3.75 + -5y + y2 Reorder the terms: 3.75 + x2 + -5y + y2 = -3.75 + 3.75 + 5y + -5y + -1y2 + y2 Combine like terms: -3.75 + 3.75 = 0.00 3.75 + x2 + -5y + y2 = 0.00 + 5y + -5y + -1y2 + y2 3.75 + x2 + -5y + y2 = 5y + -5y + -1y2 + y2 Combine like terms: 5y + -5y = 0 3.75 + x2 + -5y + y2 = 0 + -1y2 + y2 3.75 + x2 + -5y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 3.75 + x2 + -5y + y2 = 0 The solution to this equation could not be determined.
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