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Simplifying 2x3 + -128a2x + 16x2 + 32x = 0 Reorder the terms: -128a2x + 32x + 16x2 + 2x3 = 0 Solving -128a2x + 32x + 16x2 + 2x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32x' to each side of the equation. -128a2x + 32x + 16x2 + -32x + 2x3 = 0 + -32x Reorder the terms: -128a2x + 32x + -32x + 16x2 + 2x3 = 0 + -32x Combine like terms: 32x + -32x = 0 -128a2x + 0 + 16x2 + 2x3 = 0 + -32x -128a2x + 16x2 + 2x3 = 0 + -32x Remove the zero: -128a2x + 16x2 + 2x3 = -32x Add '-16x2' to each side of the equation. -128a2x + 16x2 + -16x2 + 2x3 = -32x + -16x2 Combine like terms: 16x2 + -16x2 = 0 -128a2x + 0 + 2x3 = -32x + -16x2 -128a2x + 2x3 = -32x + -16x2 Add '-2x3' to each side of the equation. -128a2x + 2x3 + -2x3 = -32x + -16x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -128a2x + 0 = -32x + -16x2 + -2x3 -128a2x = -32x + -16x2 + -2x3 Divide each side by '-128x'. a2 = 0.25 + 0.125x + 0.015625x2 Simplifying a2 = 0.25 + 0.125x + 0.015625x2 Reorder the terms: -0.25 + a2 + -0.125x + -0.015625x2 = 0.25 + 0.125x + 0.015625x2 + -0.25 + -0.125x + -0.015625x2 Reorder the terms: -0.25 + a2 + -0.125x + -0.015625x2 = 0.25 + -0.25 + 0.125x + -0.125x + 0.015625x2 + -0.015625x2 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + a2 + -0.125x + -0.015625x2 = 0.00 + 0.125x + -0.125x + 0.015625x2 + -0.015625x2 -0.25 + a2 + -0.125x + -0.015625x2 = 0.125x + -0.125x + 0.015625x2 + -0.015625x2 Combine like terms: 0.125x + -0.125x = 0.000 -0.25 + a2 + -0.125x + -0.015625x2 = 0.000 + 0.015625x2 + -0.015625x2 -0.25 + a2 + -0.125x + -0.015625x2 = 0.015625x2 + -0.015625x2 Combine like terms: 0.015625x2 + -0.015625x2 = 0.000000 -0.25 + a2 + -0.125x + -0.015625x2 = 0.000000 The solution to this equation could not be determined.
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