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Simplifying (5x2) + 13x + 15 = 0 Reorder the terms: 15 + 13x + (5x2) = 0 Solving 15 + 13x + (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'. 3 + 2.6x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 2.6x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 2.6x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2.6x + x2 = 0 + -3 2.6x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2.6x + x2 = -3 The x term is 2.6x. Take half its coefficient (1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. 2.6x + 1.69 + x2 = -3 + 1.69 Reorder the terms: 1.69 + 2.6x + x2 = -3 + 1.69 Combine like terms: -3 + 1.69 = -1.31 1.69 + 2.6x + x2 = -1.31 Factor a perfect square on the left side: ((x) + 1.3)((x) + 1.3) = -1.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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