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Simplifying 4y2 + 25x2 = 8(y + 12) Reorder the terms: 25x2 + 4y2 = 8(y + 12) Reorder the terms: 25x2 + 4y2 = 8(12 + y) 25x2 + 4y2 = (12 * 8 + y * 8) 25x2 + 4y2 = (96 + 8y) Solving 25x2 + 4y2 = 96 + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 25x2 + 4y2 + -4y2 = 96 + 8y + -4y2 Combine like terms: 4y2 + -4y2 = 0 25x2 + 0 = 96 + 8y + -4y2 25x2 = 96 + 8y + -4y2 Divide each side by '25'. x2 = 3.84 + 0.32y + -0.16y2 Simplifying x2 = 3.84 + 0.32y + -0.16y2 Reorder the terms: -3.84 + x2 + -0.32y + 0.16y2 = 3.84 + 0.32y + -0.16y2 + -3.84 + -0.32y + 0.16y2 Reorder the terms: -3.84 + x2 + -0.32y + 0.16y2 = 3.84 + -3.84 + 0.32y + -0.32y + -0.16y2 + 0.16y2 Combine like terms: 3.84 + -3.84 = 0.00 -3.84 + x2 + -0.32y + 0.16y2 = 0.00 + 0.32y + -0.32y + -0.16y2 + 0.16y2 -3.84 + x2 + -0.32y + 0.16y2 = 0.32y + -0.32y + -0.16y2 + 0.16y2 Combine like terms: 0.32y + -0.32y = 0.00 -3.84 + x2 + -0.32y + 0.16y2 = 0.00 + -0.16y2 + 0.16y2 -3.84 + x2 + -0.32y + 0.16y2 = -0.16y2 + 0.16y2 Combine like terms: -0.16y2 + 0.16y2 = 0.00 -3.84 + x2 + -0.32y + 0.16y2 = 0.00 The solution to this equation could not be determined.
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