36x^2-36x=-13

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Solution for 36x^2-36x=-13 equation:


Simplifying
36x2 + -36x = -13

Reorder the terms:
-36x + 36x2 = -13

Solving
-36x + 36x2 = -13

Solving for variable 'x'.

Reorder the terms:
13 + -36x + 36x2 = -13 + 13

Combine like terms: -13 + 13 = 0
13 + -36x + 36x2 = 0

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

Divide each side by '36'.
0.3611111111 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.3611111111' to each side of the equation.
0.3611111111 + -1x + -0.3611111111 + x2 = 0 + -0.3611111111

Reorder the terms:
0.3611111111 + -0.3611111111 + -1x + x2 = 0 + -0.3611111111

Combine like terms: 0.3611111111 + -0.3611111111 = 0.0000000000
0.0000000000 + -1x + x2 = 0 + -0.3611111111
-1x + x2 = 0 + -0.3611111111

Combine like terms: 0 + -0.3611111111 = -0.3611111111
-1x + x2 = -0.3611111111

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 = -0.3611111111 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.3611111111 + 0.25

Combine like terms: -0.3611111111 + 0.25 = -0.1111111111
0.25 + -1x + x2 = -0.1111111111

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.1111111111

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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