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Simplifying 37x2 + -13x + 30 = 0 Reorder the terms: 30 + -13x + 37x2 = 0 Solving 30 + -13x + 37x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 37 the coefficient of the squared term: Divide each side by '37'. 0.8108108108 + -0.3513513514x + x2 = 0 Move the constant term to the right: Add '-0.8108108108' to each side of the equation. 0.8108108108 + -0.3513513514x + -0.8108108108 + x2 = 0 + -0.8108108108 Reorder the terms: 0.8108108108 + -0.8108108108 + -0.3513513514x + x2 = 0 + -0.8108108108 Combine like terms: 0.8108108108 + -0.8108108108 = 0.0000000000 0.0000000000 + -0.3513513514x + x2 = 0 + -0.8108108108 -0.3513513514x + x2 = 0 + -0.8108108108 Combine like terms: 0 + -0.8108108108 = -0.8108108108 -0.3513513514x + x2 = -0.8108108108 The x term is -0.3513513514x. Take half its coefficient (-0.1756756757). Square it (0.03086194303) and add it to both sides. Add '0.03086194303' to each side of the equation. -0.3513513514x + 0.03086194303 + x2 = -0.8108108108 + 0.03086194303 Reorder the terms: 0.03086194303 + -0.3513513514x + x2 = -0.8108108108 + 0.03086194303 Combine like terms: -0.8108108108 + 0.03086194303 = -0.77994886777 0.03086194303 + -0.3513513514x + x2 = -0.77994886777 Factor a perfect square on the left side: (x + -0.1756756757)(x + -0.1756756757) = -0.77994886777 Can't calculate square root of the right side. The solution to this equation could not be determined.
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