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Simplifying 16x2 + 72y + 4y2 + 132 = 0 Reorder the terms: 132 + 16x2 + 72y + 4y2 = 0 Solving 132 + 16x2 + 72y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-132' to each side of the equation. 132 + 16x2 + 72y + -132 + 4y2 = 0 + -132 Reorder the terms: 132 + -132 + 16x2 + 72y + 4y2 = 0 + -132 Combine like terms: 132 + -132 = 0 0 + 16x2 + 72y + 4y2 = 0 + -132 16x2 + 72y + 4y2 = 0 + -132 Combine like terms: 0 + -132 = -132 16x2 + 72y + 4y2 = -132 Add '-72y' to each side of the equation. 16x2 + 72y + -72y + 4y2 = -132 + -72y Combine like terms: 72y + -72y = 0 16x2 + 0 + 4y2 = -132 + -72y 16x2 + 4y2 = -132 + -72y Add '-4y2' to each side of the equation. 16x2 + 4y2 + -4y2 = -132 + -72y + -4y2 Combine like terms: 4y2 + -4y2 = 0 16x2 + 0 = -132 + -72y + -4y2 16x2 = -132 + -72y + -4y2 Divide each side by '16'. x2 = -8.25 + -4.5y + -0.25y2 Simplifying x2 = -8.25 + -4.5y + -0.25y2 Reorder the terms: 8.25 + x2 + 4.5y + 0.25y2 = -8.25 + -4.5y + -0.25y2 + 8.25 + 4.5y + 0.25y2 Reorder the terms: 8.25 + x2 + 4.5y + 0.25y2 = -8.25 + 8.25 + -4.5y + 4.5y + -0.25y2 + 0.25y2 Combine like terms: -8.25 + 8.25 = 0.00 8.25 + x2 + 4.5y + 0.25y2 = 0.00 + -4.5y + 4.5y + -0.25y2 + 0.25y2 8.25 + x2 + 4.5y + 0.25y2 = -4.5y + 4.5y + -0.25y2 + 0.25y2 Combine like terms: -4.5y + 4.5y = 0.0 8.25 + x2 + 4.5y + 0.25y2 = 0.0 + -0.25y2 + 0.25y2 8.25 + x2 + 4.5y + 0.25y2 = -0.25y2 + 0.25y2 Combine like terms: -0.25y2 + 0.25y2 = 0.00 8.25 + x2 + 4.5y + 0.25y2 = 0.00 The solution to this equation could not be determined.
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