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Simplifying 15x2 + -39x + 128 = 0 Reorder the terms: 128 + -39x + 15x2 = 0 Solving 128 + -39x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 8.533333333 + -2.6x + x2 = 0 Move the constant term to the right: Add '-8.533333333' to each side of the equation. 8.533333333 + -2.6x + -8.533333333 + x2 = 0 + -8.533333333 Reorder the terms: 8.533333333 + -8.533333333 + -2.6x + x2 = 0 + -8.533333333 Combine like terms: 8.533333333 + -8.533333333 = 0.000000000 0.000000000 + -2.6x + x2 = 0 + -8.533333333 -2.6x + x2 = 0 + -8.533333333 Combine like terms: 0 + -8.533333333 = -8.533333333 -2.6x + x2 = -8.533333333 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 = -8.533333333 + 1.69 Reorder the terms: 1.69 + -2.6x + x2 = -8.533333333 + 1.69 Combine like terms: -8.533333333 + 1.69 = -6.843333333 1.69 + -2.6x + x2 = -6.843333333 Factor a perfect square on the left side: (x + -1.3)(x + -1.3) = -6.843333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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