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Simplifying x = 16x2 + 2304 Reorder the terms: x = 2304 + 16x2 Solving x = 2304 + 16x2 Solving for variable 'x'. Reorder the terms: -2304 + x + -16x2 = 2304 + 16x2 + -2304 + -16x2 Reorder the terms: -2304 + x + -16x2 = 2304 + -2304 + 16x2 + -16x2 Combine like terms: 2304 + -2304 = 0 -2304 + x + -16x2 = 0 + 16x2 + -16x2 -2304 + x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -2304 + x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 144 + -0.0625x + x2 = 0 Move the constant term to the right: Add '-144' to each side of the equation. 144 + -0.0625x + -144 + x2 = 0 + -144 Reorder the terms: 144 + -144 + -0.0625x + x2 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -0.0625x + x2 = 0 + -144 -0.0625x + x2 = 0 + -144 Combine like terms: 0 + -144 = -144 -0.0625x + x2 = -144 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.0625x + 0.25 + x2 = -144 + 0.25 Reorder the terms: 0.25 + -0.0625x + x2 = -144 + 0.25 Combine like terms: -144 + 0.25 = -143.75 0.25 + -0.0625x + x2 = -143.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -143.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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