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Simplifying 4x2 + -19x = -37 Reorder the terms: -19x + 4x2 = -37 Solving -19x + 4x2 = -37 Solving for variable 'x'. Reorder the terms: 37 + -19x + 4x2 = -37 + 37 Combine like terms: -37 + 37 = 0 37 + -19x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 9.25 + -4.75x + x2 = 0 Move the constant term to the right: Add '-9.25' to each side of the equation. 9.25 + -4.75x + -9.25 + x2 = 0 + -9.25 Reorder the terms: 9.25 + -9.25 + -4.75x + x2 = 0 + -9.25 Combine like terms: 9.25 + -9.25 = 0.00 0.00 + -4.75x + x2 = 0 + -9.25 -4.75x + x2 = 0 + -9.25 Combine like terms: 0 + -9.25 = -9.25 -4.75x + x2 = -9.25 The x term is -4.75x. Take half its coefficient (-2.375). Square it (5.640625) and add it to both sides. Add '5.640625' to each side of the equation. -4.75x + 5.640625 + x2 = -9.25 + 5.640625 Reorder the terms: 5.640625 + -4.75x + x2 = -9.25 + 5.640625 Combine like terms: -9.25 + 5.640625 = -3.609375 5.640625 + -4.75x + x2 = -3.609375 Factor a perfect square on the left side: (x + -2.375)(x + -2.375) = -3.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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