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Simplifying 25x2 + 4y2 + 8y + -96 = 0 Reorder the terms: -96 + 25x2 + 8y + 4y2 = 0 Solving -96 + 25x2 + 8y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 25x2 + 8y + 96 + 4y2 = 0 + 96 Reorder the terms: -96 + 96 + 25x2 + 8y + 4y2 = 0 + 96 Combine like terms: -96 + 96 = 0 0 + 25x2 + 8y + 4y2 = 0 + 96 25x2 + 8y + 4y2 = 0 + 96 Combine like terms: 0 + 96 = 96 25x2 + 8y + 4y2 = 96 Add '-8y' to each side of the equation. 25x2 + 8y + -8y + 4y2 = 96 + -8y Combine like terms: 8y + -8y = 0 25x2 + 0 + 4y2 = 96 + -8y 25x2 + 4y2 = 96 + -8y 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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