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Simplifying 25x2 + 9y2 + -18y + -216 = 0 Reorder the terms: -216 + 25x2 + -18y + 9y2 = 0 Solving -216 + 25x2 + -18y + 9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '216' to each side of the equation. -216 + 25x2 + -18y + 216 + 9y2 = 0 + 216 Reorder the terms: -216 + 216 + 25x2 + -18y + 9y2 = 0 + 216 Combine like terms: -216 + 216 = 0 0 + 25x2 + -18y + 9y2 = 0 + 216 25x2 + -18y + 9y2 = 0 + 216 Combine like terms: 0 + 216 = 216 25x2 + -18y + 9y2 = 216 Add '18y' to each side of the equation. 25x2 + -18y + 18y + 9y2 = 216 + 18y Combine like terms: -18y + 18y = 0 25x2 + 0 + 9y2 = 216 + 18y 25x2 + 9y2 = 216 + 18y Add '-9y2' to each side of the equation. 25x2 + 9y2 + -9y2 = 216 + 18y + -9y2 Combine like terms: 9y2 + -9y2 = 0 25x2 + 0 = 216 + 18y + -9y2 25x2 = 216 + 18y + -9y2 Divide each side by '25'. x2 = 8.64 + 0.72y + -0.36y2 Simplifying x2 = 8.64 + 0.72y + -0.36y2 Reorder the terms: -8.64 + x2 + -0.72y + 0.36y2 = 8.64 + 0.72y + -0.36y2 + -8.64 + -0.72y + 0.36y2 Reorder the terms: -8.64 + x2 + -0.72y + 0.36y2 = 8.64 + -8.64 + 0.72y + -0.72y + -0.36y2 + 0.36y2 Combine like terms: 8.64 + -8.64 = 0.00 -8.64 + x2 + -0.72y + 0.36y2 = 0.00 + 0.72y + -0.72y + -0.36y2 + 0.36y2 -8.64 + x2 + -0.72y + 0.36y2 = 0.72y + -0.72y + -0.36y2 + 0.36y2 Combine like terms: 0.72y + -0.72y = 0.00 -8.64 + x2 + -0.72y + 0.36y2 = 0.00 + -0.36y2 + 0.36y2 -8.64 + x2 + -0.72y + 0.36y2 = -0.36y2 + 0.36y2 Combine like terms: -0.36y2 + 0.36y2 = 0.00 -8.64 + x2 + -0.72y + 0.36y2 = 0.00 The solution to this equation could not be determined.
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