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Simplifying x = 64x2 + 57600 Reorder the terms: x = 57600 + 64x2 Solving x = 57600 + 64x2 Solving for variable 'x'. Reorder the terms: -57600 + x + -64x2 = 57600 + 64x2 + -57600 + -64x2 Reorder the terms: -57600 + x + -64x2 = 57600 + -57600 + 64x2 + -64x2 Combine like terms: 57600 + -57600 = 0 -57600 + x + -64x2 = 0 + 64x2 + -64x2 -57600 + x + -64x2 = 64x2 + -64x2 Combine like terms: 64x2 + -64x2 = 0 -57600 + x + -64x2 = 0 Begin completing the square. Divide all terms by -64 the coefficient of the squared term: Divide each side by '-64'. 900 + -0.015625x + x2 = 0 Move the constant term to the right: Add '-900' to each side of the equation. 900 + -0.015625x + -900 + x2 = 0 + -900 Reorder the terms: 900 + -900 + -0.015625x + x2 = 0 + -900 Combine like terms: 900 + -900 = 0 0 + -0.015625x + x2 = 0 + -900 -0.015625x + x2 = 0 + -900 Combine like terms: 0 + -900 = -900 -0.015625x + x2 = -900 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. -0.015625x + 0.25 + x2 = -900 + 0.25 Reorder the terms: 0.25 + -0.015625x + x2 = -900 + 0.25 Combine like terms: -900 + 0.25 = -899.75 0.25 + -0.015625x + x2 = -899.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -899.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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