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Simplifying x2 + 144x = -36864 Reorder the terms: 144x + x2 = -36864 Solving 144x + x2 = -36864 Solving for variable 'x'. Reorder the terms: 36864 + 144x + x2 = -36864 + 36864 Combine like terms: -36864 + 36864 = 0 36864 + 144x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36864' to each side of the equation. 36864 + 144x + -36864 + x2 = 0 + -36864 Reorder the terms: 36864 + -36864 + 144x + x2 = 0 + -36864 Combine like terms: 36864 + -36864 = 0 0 + 144x + x2 = 0 + -36864 144x + x2 = 0 + -36864 Combine like terms: 0 + -36864 = -36864 144x + x2 = -36864 The x term is 144x. Take half its coefficient (72). Square it (5184) and add it to both sides. Add '5184' to each side of the equation. 144x + 5184 + x2 = -36864 + 5184 Reorder the terms: 5184 + 144x + x2 = -36864 + 5184 Combine like terms: -36864 + 5184 = -31680 5184 + 144x + x2 = -31680 Factor a perfect square on the left side: (x + 72)(x + 72) = -31680 Can't calculate square root of the right side. The solution to this equation could not be determined.
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