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Simplifying 4x + -8y2 + 32y + 64 = 0 Reorder the terms: 64 + 4x + 32y + -8y2 = 0 Solving 64 + 4x + 32y + -8y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 4x + 32y + -64 + -8y2 = 0 + -64 Reorder the terms: 64 + -64 + 4x + 32y + -8y2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 4x + 32y + -8y2 = 0 + -64 4x + 32y + -8y2 = 0 + -64 Combine like terms: 0 + -64 = -64 4x + 32y + -8y2 = -64 Add '-32y' to each side of the equation. 4x + 32y + -32y + -8y2 = -64 + -32y Combine like terms: 32y + -32y = 0 4x + 0 + -8y2 = -64 + -32y 4x + -8y2 = -64 + -32y Add '8y2' to each side of the equation. 4x + -8y2 + 8y2 = -64 + -32y + 8y2 Combine like terms: -8y2 + 8y2 = 0 4x + 0 = -64 + -32y + 8y2 4x = -64 + -32y + 8y2 Divide each side by '4'. x = -16 + -8y + 2y2 Simplifying x = -16 + -8y + 2y2
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