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Simplifying 4x2 + 4y2 + -12y + 9 = 0 Reorder the terms: 9 + 4x2 + -12y + 4y2 = 0 Solving 9 + 4x2 + -12y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4x2 + -12y + -9 + 4y2 = 0 + -9 Reorder the terms: 9 + -9 + 4x2 + -12y + 4y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x2 + -12y + 4y2 = 0 + -9 4x2 + -12y + 4y2 = 0 + -9 Combine like terms: 0 + -9 = -9 4x2 + -12y + 4y2 = -9 Add '12y' to each side of the equation. 4x2 + -12y + 12y + 4y2 = -9 + 12y Combine like terms: -12y + 12y = 0 4x2 + 0 + 4y2 = -9 + 12y 4x2 + 4y2 = -9 + 12y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = -9 + 12y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = -9 + 12y + -4y2 4x2 = -9 + 12y + -4y2 Divide each side by '4'. x2 = -2.25 + 3y + -1y2 Simplifying x2 = -2.25 + 3y + -1y2 Reorder the terms: 2.25 + x2 + -3y + y2 = -2.25 + 3y + -1y2 + 2.25 + -3y + y2 Reorder the terms: 2.25 + x2 + -3y + y2 = -2.25 + 2.25 + 3y + -3y + -1y2 + y2 Combine like terms: -2.25 + 2.25 = 0.00 2.25 + x2 + -3y + y2 = 0.00 + 3y + -3y + -1y2 + y2 2.25 + x2 + -3y + y2 = 3y + -3y + -1y2 + y2 Combine like terms: 3y + -3y = 0 2.25 + x2 + -3y + y2 = 0 + -1y2 + y2 2.25 + x2 + -3y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 2.25 + x2 + -3y + y2 = 0 The solution to this equation could not be determined.
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