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Simplifying 4x2 + 36 + 4y2 + -20y + -150 = 0 Reorder the terms: 36 + -150 + 4x2 + -20y + 4y2 = 0 Combine like terms: 36 + -150 = -114 -114 + 4x2 + -20y + 4y2 = 0 Solving -114 + 4x2 + -20y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '114' to each side of the equation. -114 + 4x2 + -20y + 114 + 4y2 = 0 + 114 Reorder the terms: -114 + 114 + 4x2 + -20y + 4y2 = 0 + 114 Combine like terms: -114 + 114 = 0 0 + 4x2 + -20y + 4y2 = 0 + 114 4x2 + -20y + 4y2 = 0 + 114 Combine like terms: 0 + 114 = 114 4x2 + -20y + 4y2 = 114 Add '20y' to each side of the equation. 4x2 + -20y + 20y + 4y2 = 114 + 20y Combine like terms: -20y + 20y = 0 4x2 + 0 + 4y2 = 114 + 20y 4x2 + 4y2 = 114 + 20y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = 114 + 20y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = 114 + 20y + -4y2 4x2 = 114 + 20y + -4y2 Divide each side by '4'. x2 = 28.5 + 5y + -1y2 Simplifying x2 = 28.5 + 5y + -1y2 Reorder the terms: -28.5 + x2 + -5y + y2 = 28.5 + 5y + -1y2 + -28.5 + -5y + y2 Reorder the terms: -28.5 + x2 + -5y + y2 = 28.5 + -28.5 + 5y + -5y + -1y2 + y2 Combine like terms: 28.5 + -28.5 = 0.0 -28.5 + x2 + -5y + y2 = 0.0 + 5y + -5y + -1y2 + y2 -28.5 + x2 + -5y + y2 = 5y + -5y + -1y2 + y2 Combine like terms: 5y + -5y = 0 -28.5 + x2 + -5y + y2 = 0 + -1y2 + y2 -28.5 + x2 + -5y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -28.5 + x2 + -5y + y2 = 0 The solution to this equation could not be determined.
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