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Simplifying 9x2 + -9x + 1 = -15 Reorder the terms: 1 + -9x + 9x2 = -15 Solving 1 + -9x + 9x2 = -15 Solving for variable 'x'. Reorder the terms: 1 + 15 + -9x + 9x2 = -15 + 15 Combine like terms: 1 + 15 = 16 16 + -9x + 9x2 = -15 + 15 Combine like terms: -15 + 15 = 0 16 + -9x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + -1x + x2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + -1x + -1.777777778 + x2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + -1x + x2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + -1x + x2 = 0 + -1.777777778 -1x + x2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 -1x + x2 = -1.777777778 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.777777778 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.777777778 + 0.25 Combine like terms: -1.777777778 + 0.25 = -1.527777778 0.25 + -1x + x2 = -1.527777778 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.527777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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