36x^2-75x+64=0

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Solution for 36x^2-75x+64=0 equation:


Simplifying
36x2 + -75x + 64 = 0

Reorder the terms:
64 + -75x + 36x2 = 0

Solving
64 + -75x + 36x2 = 0

Solving for variable 'x'.

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

Divide each side by '36'.
1.777777778 + -2.083333333x + x2 = 0

Move the constant term to the right:

Add '-1.777777778' to each side of the equation.
1.777777778 + -2.083333333x + -1.777777778 + x2 = 0 + -1.777777778

Reorder the terms:
1.777777778 + -1.777777778 + -2.083333333x + x2 = 0 + -1.777777778

Combine like terms: 1.777777778 + -1.777777778 = 0.000000000
0.000000000 + -2.083333333x + x2 = 0 + -1.777777778
-2.083333333x + x2 = 0 + -1.777777778

Combine like terms: 0 + -1.777777778 = -1.777777778
-2.083333333x + x2 = -1.777777778

The x term is -2.083333333x.  Take half its coefficient (-1.041666667).
Square it (1.085069445) and add it to both sides.

Add '1.085069445' to each side of the equation.
-2.083333333x + 1.085069445 + x2 = -1.777777778 + 1.085069445

Reorder the terms:
1.085069445 + -2.083333333x + x2 = -1.777777778 + 1.085069445

Combine like terms: -1.777777778 + 1.085069445 = -0.692708333
1.085069445 + -2.083333333x + x2 = -0.692708333

Factor a perfect square on the left side:
(x + -1.041666667)(x + -1.041666667) = -0.692708333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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