36x^2-35x=-24

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Solution for 36x^2-35x=-24 equation:


Simplifying
36x2 + -35x = -24

Reorder the terms:
-35x + 36x2 = -24

Solving
-35x + 36x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + -35x + 36x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -35x + 36x2 = 0

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

Divide each side by '36'.
0.6666666667 + -0.9722222222x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.9722222222x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.9722222222x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.9722222222x + x2 = 0 + -0.6666666667
-0.9722222222x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.9722222222x + x2 = -0.6666666667

The x term is -0.9722222222x.  Take half its coefficient (-0.4861111111).
Square it (0.2363040123) and add it to both sides.

Add '0.2363040123' to each side of the equation.
-0.9722222222x + 0.2363040123 + x2 = -0.6666666667 + 0.2363040123

Reorder the terms:
0.2363040123 + -0.9722222222x + x2 = -0.6666666667 + 0.2363040123

Combine like terms: -0.6666666667 + 0.2363040123 = -0.4303626544
0.2363040123 + -0.9722222222x + x2 = -0.4303626544

Factor a perfect square on the left side:
(x + -0.4861111111)(x + -0.4861111111) = -0.4303626544

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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