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Simplifying 4x2 + 4y2 + 24y = 52 Reorder the terms: 4x2 + 24y + 4y2 = 52 Solving 4x2 + 24y + 4y2 = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. 4x2 + 24y + -24y + 4y2 = 52 + -24y Combine like terms: 24y + -24y = 0 4x2 + 0 + 4y2 = 52 + -24y 4x2 + 4y2 = 52 + -24y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = 52 + -24y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = 52 + -24y + -4y2 4x2 = 52 + -24y + -4y2 Divide each side by '4'. x2 = 13 + -6y + -1y2 Simplifying x2 = 13 + -6y + -1y2 Reorder the terms: -13 + x2 + 6y + y2 = 13 + -6y + -1y2 + -13 + 6y + y2 Reorder the terms: -13 + x2 + 6y + y2 = 13 + -13 + -6y + 6y + -1y2 + y2 Combine like terms: 13 + -13 = 0 -13 + x2 + 6y + y2 = 0 + -6y + 6y + -1y2 + y2 -13 + x2 + 6y + y2 = -6y + 6y + -1y2 + y2 Combine like terms: -6y + 6y = 0 -13 + x2 + 6y + y2 = 0 + -1y2 + y2 -13 + x2 + 6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -13 + x2 + 6y + y2 = 0 The solution to this equation could not be determined.
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