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Simplifying x2 + 4x + 64Y2 + -12 = 0 Reorder the terms: -12 + 64Y2 + 4x + x2 = 0 Solving -12 + 64Y2 + 4x + x2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 64Y2 + 4x + 12 + x2 = 0 + 12 Reorder the terms: -12 + 12 + 64Y2 + 4x + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 64Y2 + 4x + x2 = 0 + 12 64Y2 + 4x + x2 = 0 + 12 Combine like terms: 0 + 12 = 12 64Y2 + 4x + x2 = 12 Add '-4x' to each side of the equation. 64Y2 + 4x + -4x + x2 = 12 + -4x Combine like terms: 4x + -4x = 0 64Y2 + 0 + x2 = 12 + -4x 64Y2 + x2 = 12 + -4x Add '-1x2' to each side of the equation. 64Y2 + x2 + -1x2 = 12 + -4x + -1x2 Combine like terms: x2 + -1x2 = 0 64Y2 + 0 = 12 + -4x + -1x2 64Y2 = 12 + -4x + -1x2 Divide each side by '64'. Y2 = 0.1875 + -0.0625x + -0.015625x2 Simplifying Y2 = 0.1875 + -0.0625x + -0.015625x2 Reorder the terms: -0.1875 + Y2 + 0.0625x + 0.015625x2 = 0.1875 + -0.0625x + -0.015625x2 + -0.1875 + 0.0625x + 0.015625x2 Reorder the terms: -0.1875 + Y2 + 0.0625x + 0.015625x2 = 0.1875 + -0.1875 + -0.0625x + 0.0625x + -0.015625x2 + 0.015625x2 Combine like terms: 0.1875 + -0.1875 = 0.0000 -0.1875 + Y2 + 0.0625x + 0.015625x2 = 0.0000 + -0.0625x + 0.0625x + -0.015625x2 + 0.015625x2 -0.1875 + Y2 + 0.0625x + 0.015625x2 = -0.0625x + 0.0625x + -0.015625x2 + 0.015625x2 Combine like terms: -0.0625x + 0.0625x = 0.0000 -0.1875 + Y2 + 0.0625x + 0.015625x2 = 0.0000 + -0.015625x2 + 0.015625x2 -0.1875 + Y2 + 0.0625x + 0.015625x2 = -0.015625x2 + 0.015625x2 Combine like terms: -0.015625x2 + 0.015625x2 = 0.000000 -0.1875 + Y2 + 0.0625x + 0.015625x2 = 0.000000 The solution to this equation could not be determined.
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