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Simplifying 4x3 + -64a2x + 16x2 + 16x = 0 Reorder the terms: -64a2x + 16x + 16x2 + 4x3 = 0 Solving -64a2x + 16x + 16x2 + 4x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16x' to each side of the equation. -64a2x + 16x + 16x2 + -16x + 4x3 = 0 + -16x Reorder the terms: -64a2x + 16x + -16x + 16x2 + 4x3 = 0 + -16x Combine like terms: 16x + -16x = 0 -64a2x + 0 + 16x2 + 4x3 = 0 + -16x -64a2x + 16x2 + 4x3 = 0 + -16x Remove the zero: -64a2x + 16x2 + 4x3 = -16x Add '-16x2' to each side of the equation. -64a2x + 16x2 + -16x2 + 4x3 = -16x + -16x2 Combine like terms: 16x2 + -16x2 = 0 -64a2x + 0 + 4x3 = -16x + -16x2 -64a2x + 4x3 = -16x + -16x2 Add '-4x3' to each side of the equation. -64a2x + 4x3 + -4x3 = -16x + -16x2 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -64a2x + 0 = -16x + -16x2 + -4x3 -64a2x = -16x + -16x2 + -4x3 Divide each side by '-64x'. a2 = 0.25 + 0.25x + 0.0625x2 Simplifying a2 = 0.25 + 0.25x + 0.0625x2 Reorder the terms: -0.25 + a2 + -0.25x + -0.0625x2 = 0.25 + 0.25x + 0.0625x2 + -0.25 + -0.25x + -0.0625x2 Reorder the terms: -0.25 + a2 + -0.25x + -0.0625x2 = 0.25 + -0.25 + 0.25x + -0.25x + 0.0625x2 + -0.0625x2 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + a2 + -0.25x + -0.0625x2 = 0.00 + 0.25x + -0.25x + 0.0625x2 + -0.0625x2 -0.25 + a2 + -0.25x + -0.0625x2 = 0.25x + -0.25x + 0.0625x2 + -0.0625x2 Combine like terms: 0.25x + -0.25x = 0.00 -0.25 + a2 + -0.25x + -0.0625x2 = 0.00 + 0.0625x2 + -0.0625x2 -0.25 + a2 + -0.25x + -0.0625x2 = 0.0625x2 + -0.0625x2 Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000 -0.25 + a2 + -0.25x + -0.0625x2 = 0.0000 The solution to this equation could not be determined.
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