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Simplifying -9a2 + 5a + -11 = -5 Reorder the terms: -11 + 5a + -9a2 = -5 Solving -11 + 5a + -9a2 = -5 Solving for variable 'a'. Reorder the terms: -11 + 5 + 5a + -9a2 = -5 + 5 Combine like terms: -11 + 5 = -6 -6 + 5a + -9a2 = -5 + 5 Combine like terms: -5 + 5 = 0 -6 + 5a + -9a2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.6666666667 + -0.5555555556a + a2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.5555555556a + -0.6666666667 + a2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.5555555556a + a2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.5555555556a + a2 = 0 + -0.6666666667 -0.5555555556a + a2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.5555555556a + a2 = -0.6666666667 The a term is -0.5555555556a. Take half its coefficient (-0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. -0.5555555556a + 0.07716049384 + a2 = -0.6666666667 + 0.07716049384 Reorder the terms: 0.07716049384 + -0.5555555556a + a2 = -0.6666666667 + 0.07716049384 Combine like terms: -0.6666666667 + 0.07716049384 = -0.58950617286 0.07716049384 + -0.5555555556a + a2 = -0.58950617286 Factor a perfect square on the left side: (a + -0.2777777778)(a + -0.2777777778) = -0.58950617286 Can't calculate square root of the right side. The solution to this equation could not be determined.
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