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Simplifying 4x2 + 3y2 + -12y + -36 = 0 Reorder the terms: -36 + 4x2 + -12y + 3y2 = 0 Solving -36 + 4x2 + -12y + 3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 4x2 + -12y + 36 + 3y2 = 0 + 36 Reorder the terms: -36 + 36 + 4x2 + -12y + 3y2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 4x2 + -12y + 3y2 = 0 + 36 4x2 + -12y + 3y2 = 0 + 36 Combine like terms: 0 + 36 = 36 4x2 + -12y + 3y2 = 36 Add '12y' to each side of the equation. 4x2 + -12y + 12y + 3y2 = 36 + 12y Combine like terms: -12y + 12y = 0 4x2 + 0 + 3y2 = 36 + 12y 4x2 + 3y2 = 36 + 12y Add '-3y2' to each side of the equation. 4x2 + 3y2 + -3y2 = 36 + 12y + -3y2 Combine like terms: 3y2 + -3y2 = 0 4x2 + 0 = 36 + 12y + -3y2 4x2 = 36 + 12y + -3y2 Divide each side by '4'. x2 = 9 + 3y + -0.75y2 Simplifying x2 = 9 + 3y + -0.75y2 Reorder the terms: -9 + x2 + -3y + 0.75y2 = 9 + 3y + -0.75y2 + -9 + -3y + 0.75y2 Reorder the terms: -9 + x2 + -3y + 0.75y2 = 9 + -9 + 3y + -3y + -0.75y2 + 0.75y2 Combine like terms: 9 + -9 = 0 -9 + x2 + -3y + 0.75y2 = 0 + 3y + -3y + -0.75y2 + 0.75y2 -9 + x2 + -3y + 0.75y2 = 3y + -3y + -0.75y2 + 0.75y2 Combine like terms: 3y + -3y = 0 -9 + x2 + -3y + 0.75y2 = 0 + -0.75y2 + 0.75y2 -9 + x2 + -3y + 0.75y2 = -0.75y2 + 0.75y2 Combine like terms: -0.75y2 + 0.75y2 = 0.00 -9 + x2 + -3y + 0.75y2 = 0.00 The solution to this equation could not be determined.
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