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Simplifying 13x2 + 30x + 72 = 0 Reorder the terms: 72 + 30x + 13x2 = 0 Solving 72 + 30x + 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'. 5.538461538 + 2.307692308x + x2 = 0 Move the constant term to the right: Add '-5.538461538' to each side of the equation. 5.538461538 + 2.307692308x + -5.538461538 + x2 = 0 + -5.538461538 Reorder the terms: 5.538461538 + -5.538461538 + 2.307692308x + x2 = 0 + -5.538461538 Combine like terms: 5.538461538 + -5.538461538 = 0.000000000 0.000000000 + 2.307692308x + x2 = 0 + -5.538461538 2.307692308x + x2 = 0 + -5.538461538 Combine like terms: 0 + -5.538461538 = -5.538461538 2.307692308x + x2 = -5.538461538 The x term is 2.307692308x. Take half its coefficient (1.153846154). Square it (1.331360947) and add it to both sides. Add '1.331360947' to each side of the equation. 2.307692308x + 1.331360947 + x2 = -5.538461538 + 1.331360947 Reorder the terms: 1.331360947 + 2.307692308x + x2 = -5.538461538 + 1.331360947 Combine like terms: -5.538461538 + 1.331360947 = -4.207100591 1.331360947 + 2.307692308x + x2 = -4.207100591 Factor a perfect square on the left side: (x + 1.153846154)(x + 1.153846154) = -4.207100591 Can't calculate square root of the right side. The solution to this equation could not be determined.
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