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Simplifying 4x2 + 4y2 + 12y + -47 = 0 Reorder the terms: -47 + 4x2 + 12y + 4y2 = 0 Solving -47 + 4x2 + 12y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 4x2 + 12y + 47 + 4y2 = 0 + 47 Reorder the terms: -47 + 47 + 4x2 + 12y + 4y2 = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 4x2 + 12y + 4y2 = 0 + 47 4x2 + 12y + 4y2 = 0 + 47 Combine like terms: 0 + 47 = 47 4x2 + 12y + 4y2 = 47 Add '-12y' to each side of the equation. 4x2 + 12y + -12y + 4y2 = 47 + -12y Combine like terms: 12y + -12y = 0 4x2 + 0 + 4y2 = 47 + -12y 4x2 + 4y2 = 47 + -12y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = 47 + -12y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = 47 + -12y + -4y2 4x2 = 47 + -12y + -4y2 Divide each side by '4'. x2 = 11.75 + -3y + -1y2 Simplifying x2 = 11.75 + -3y + -1y2 Reorder the terms: -11.75 + x2 + 3y + y2 = 11.75 + -3y + -1y2 + -11.75 + 3y + y2 Reorder the terms: -11.75 + x2 + 3y + y2 = 11.75 + -11.75 + -3y + 3y + -1y2 + y2 Combine like terms: 11.75 + -11.75 = 0.00 -11.75 + x2 + 3y + y2 = 0.00 + -3y + 3y + -1y2 + y2 -11.75 + x2 + 3y + y2 = -3y + 3y + -1y2 + y2 Combine like terms: -3y + 3y = 0 -11.75 + x2 + 3y + y2 = 0 + -1y2 + y2 -11.75 + x2 + 3y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -11.75 + x2 + 3y + y2 = 0 The solution to this equation could not be determined.
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