11a^2-32a+18=-7

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Solution for 11a^2-32a+18=-7 equation: 


Simplifying
11a2 + -32a + 18 = -7

Reorder the terms:
18 + -32a + 11a2 = -7

Solving
18 + -32a + 11a2 = -7

Solving for variable 'a'.

Reorder the terms:
18 + 7 + -32a + 11a2 = -7 + 7

Combine like terms: 18 + 7 = 25
25 + -32a + 11a2 = -7 + 7

Combine like terms: -7 + 7 = 0
25 + -32a + 11a2 = 0

Begin completing the square.  Divide all terms by
11 the coefficient of the squared term: 

Divide each side by '11'.
2.272727273 + -2.909090909a + a2 = 0

Move the constant term to the right:

Add '-2.272727273' to each side of the equation.
2.272727273 + -2.909090909a + -2.272727273 + a2 = 0 + -2.272727273

Reorder the terms:
2.272727273 + -2.272727273 + -2.909090909a + a2 = 0 + -2.272727273

Combine like terms: 2.272727273 + -2.272727273 = 0.000000000
0.000000000 + -2.909090909a + a2 = 0 + -2.272727273
-2.909090909a + a2 = 0 + -2.272727273

Combine like terms: 0 + -2.272727273 = -2.272727273
-2.909090909a + a2 = -2.272727273

The a term is -2.909090909a.  Take half its coefficient (-1.454545455).
Square it (2.115702481) and add it to both sides.

Add '2.115702481' to each side of the equation.
-2.909090909a + 2.115702481 + a2 = -2.272727273 + 2.115702481

Reorder the terms:
2.115702481 + -2.909090909a + a2 = -2.272727273 + 2.115702481

Combine like terms: -2.272727273 + 2.115702481 = -0.157024792
2.115702481 + -2.909090909a + a2 = -0.157024792

Factor a perfect square on the left side:
(a + -1.454545455)(a + -1.454545455) = -0.157024792

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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