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Simplifying -5x2 + 39x + -201.4 = 0 Reorder the terms: -201.4 + 39x + -5x2 = 0 Solving -201.4 + 39x + -5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 40.28 + -7.8x + x2 = 0 Move the constant term to the right: Add '-40.28' to each side of the equation. 40.28 + -7.8x + -40.28 + x2 = 0 + -40.28 Reorder the terms: 40.28 + -40.28 + -7.8x + x2 = 0 + -40.28 Combine like terms: 40.28 + -40.28 = 0.00 0.00 + -7.8x + x2 = 0 + -40.28 -7.8x + x2 = 0 + -40.28 Combine like terms: 0 + -40.28 = -40.28 -7.8x + x2 = -40.28 The x term is -7.8x. Take half its coefficient (-3.9). Square it (15.21) and add it to both sides. Add '15.21' to each side of the equation. -7.8x + 15.21 + x2 = -40.28 + 15.21 Reorder the terms: 15.21 + -7.8x + x2 = -40.28 + 15.21 Combine like terms: -40.28 + 15.21 = -25.07 15.21 + -7.8x + x2 = -25.07 Factor a perfect square on the left side: (x + -3.9)(x + -3.9) = -25.07 Can't calculate square root of the right side. The solution to this equation could not be determined.
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