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Simplifying x2 + 2.14x + 36.4 = 0 Reorder the terms: 36.4 + 2.14x + x2 = 0 Solving 36.4 + 2.14x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-36.4' to each side of the equation. 36.4 + 2.14x + -36.4 + x2 = 0 + -36.4 Reorder the terms: 36.4 + -36.4 + 2.14x + x2 = 0 + -36.4 Combine like terms: 36.4 + -36.4 = 0.0 0.0 + 2.14x + x2 = 0 + -36.4 2.14x + x2 = 0 + -36.4 Combine like terms: 0 + -36.4 = -36.4 2.14x + x2 = -36.4 The x term is 2.14x. Take half its coefficient (1.07). Square it (1.1449) and add it to both sides. Add '1.1449' to each side of the equation. 2.14x + 1.1449 + x2 = -36.4 + 1.1449 Reorder the terms: 1.1449 + 2.14x + x2 = -36.4 + 1.1449 Combine like terms: -36.4 + 1.1449 = -35.2551 1.1449 + 2.14x + x2 = -35.2551 Factor a perfect square on the left side: (x + 1.07)(x + 1.07) = -35.2551 Can't calculate square root of the right side. The solution to this equation could not be determined.
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