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Simplifying 7x2 + -38x = -103 Reorder the terms: -38x + 7x2 = -103 Solving -38x + 7x2 = -103 Solving for variable 'x'. Reorder the terms: 103 + -38x + 7x2 = -103 + 103 Combine like terms: -103 + 103 = 0 103 + -38x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 14.71428571 + -5.428571429x + x2 = 0 Move the constant term to the right: Add '-14.71428571' to each side of the equation. 14.71428571 + -5.428571429x + -14.71428571 + x2 = 0 + -14.71428571 Reorder the terms: 14.71428571 + -14.71428571 + -5.428571429x + x2 = 0 + -14.71428571 Combine like terms: 14.71428571 + -14.71428571 = 0.00000000 0.00000000 + -5.428571429x + x2 = 0 + -14.71428571 -5.428571429x + x2 = 0 + -14.71428571 Combine like terms: 0 + -14.71428571 = -14.71428571 -5.428571429x + x2 = -14.71428571 The x term is -5.428571429x. Take half its coefficient (-2.714285715). Square it (7.367346943) and add it to both sides. Add '7.367346943' to each side of the equation. -5.428571429x + 7.367346943 + x2 = -14.71428571 + 7.367346943 Reorder the terms: 7.367346943 + -5.428571429x + x2 = -14.71428571 + 7.367346943 Combine like terms: -14.71428571 + 7.367346943 = -7.346938767 7.367346943 + -5.428571429x + x2 = -7.346938767 Factor a perfect square on the left side: (x + -2.714285715)(x + -2.714285715) = -7.346938767 Can't calculate square root of the right side. The solution to this equation could not be determined.
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