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Simplifying (32x)(32x) + 8x = -35 Remove parenthesis around (32x) 32x(32x) + 8x = -35 Remove parenthesis around (32x) 32x * 32x + 8x = -35 Reorder the terms for easier multiplication: 32 * 32x * x + 8x = -35 Multiply 32 * 32 1024x * x + 8x = -35 Multiply x * x 1024x2 + 8x = -35 Reorder the terms: 8x + 1024x2 = -35 Solving 8x + 1024x2 = -35 Solving for variable 'x'. Reorder the terms: 35 + 8x + 1024x2 = -35 + 35 Combine like terms: -35 + 35 = 0 35 + 8x + 1024x2 = 0 Begin completing the square. Divide all terms by 1024 the coefficient of the squared term: Divide each side by '1024'. 0.0341796875 + 0.0078125x + x2 = 0 Move the constant term to the right: Add '-0.0341796875' to each side of the equation. 0.0341796875 + 0.0078125x + -0.0341796875 + x2 = 0 + -0.0341796875 Reorder the terms: 0.0341796875 + -0.0341796875 + 0.0078125x + x2 = 0 + -0.0341796875 Combine like terms: 0.0341796875 + -0.0341796875 = 0.0000000000 0.0000000000 + 0.0078125x + x2 = 0 + -0.0341796875 0.0078125x + x2 = 0 + -0.0341796875 Combine like terms: 0 + -0.0341796875 = -0.0341796875 0.0078125x + x2 = -0.0341796875 The x term is 0.0078125x. Take half its coefficient (0.00390625). Square it (0.00001525878906) and add it to both sides. Add '0.00001525878906' to each side of the equation. 0.0078125x + 0.00001525878906 + x2 = -0.0341796875 + 0.00001525878906 Reorder the terms: 0.00001525878906 + 0.0078125x + x2 = -0.0341796875 + 0.00001525878906 Combine like terms: -0.0341796875 + 0.00001525878906 = -0.03416442871094 0.00001525878906 + 0.0078125x + x2 = -0.03416442871094 Factor a perfect square on the left side: (x + 0.00390625)(x + 0.00390625) = -0.03416442871094 Can't calculate square root of the right side. The solution to this equation could not be determined.
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