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Simplifying 13x2 + -150x + 525 = 0 Reorder the terms: 525 + -150x + 13x2 = 0 Solving 525 + -150x + 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'. 40.38461538 + -11.53846154x + x2 = 0 Move the constant term to the right: Add '-40.38461538' to each side of the equation. 40.38461538 + -11.53846154x + -40.38461538 + x2 = 0 + -40.38461538 Reorder the terms: 40.38461538 + -40.38461538 + -11.53846154x + x2 = 0 + -40.38461538 Combine like terms: 40.38461538 + -40.38461538 = 0.00000000 0.00000000 + -11.53846154x + x2 = 0 + -40.38461538 -11.53846154x + x2 = 0 + -40.38461538 Combine like terms: 0 + -40.38461538 = -40.38461538 -11.53846154x + x2 = -40.38461538 The x term is -11.53846154x. Take half its coefficient (-5.76923077). Square it (33.28402368) and add it to both sides. Add '33.28402368' to each side of the equation. -11.53846154x + 33.28402368 + x2 = -40.38461538 + 33.28402368 Reorder the terms: 33.28402368 + -11.53846154x + x2 = -40.38461538 + 33.28402368 Combine like terms: -40.38461538 + 33.28402368 = -7.1005917 33.28402368 + -11.53846154x + x2 = -7.1005917 Factor a perfect square on the left side: (x + -5.76923077)(x + -5.76923077) = -7.1005917 Can't calculate square root of the right side. The solution to this equation could not be determined.
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