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Simplifying 13x2 + -20x + 15 = 0 Reorder the terms: 15 + -20x + 13x2 = 0 Solving 15 + -20x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1.153846154 + -1.538461538x + x2 = 0 Move the constant term to the right: Add '-1.153846154' to each side of the equation. 1.153846154 + -1.538461538x + -1.153846154 + x2 = 0 + -1.153846154 Reorder the terms: 1.153846154 + -1.153846154 + -1.538461538x + x2 = 0 + -1.153846154 Combine like terms: 1.153846154 + -1.153846154 = 0.000000000 0.000000000 + -1.538461538x + x2 = 0 + -1.153846154 -1.538461538x + x2 = 0 + -1.153846154 Combine like terms: 0 + -1.153846154 = -1.153846154 -1.538461538x + x2 = -1.153846154 The x term is -1.538461538x. Take half its coefficient (-0.769230769). Square it (0.5917159760) and add it to both sides. Add '0.5917159760' to each side of the equation. -1.538461538x + 0.5917159760 + x2 = -1.153846154 + 0.5917159760 Reorder the terms: 0.5917159760 + -1.538461538x + x2 = -1.153846154 + 0.5917159760 Combine like terms: -1.153846154 + 0.5917159760 = -0.562130178 0.5917159760 + -1.538461538x + x2 = -0.562130178 Factor a perfect square on the left side: (x + -0.769230769)(x + -0.769230769) = -0.562130178 Can't calculate square root of the right side. The solution to this equation could not be determined.
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