22x^2-25x+77=0

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Solution for 22x^2-25x+77=0 equation:


Simplifying
22x2 + -25x + 77 = 0

Reorder the terms:
77 + -25x + 22x2 = 0

Solving
77 + -25x + 22x2 = 0

Solving for variable 'x'.

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

Divide each side by '22'.
3.5 + -1.136363636x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -1.136363636x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -1.136363636x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1.136363636x + x2 = 0 + -3.5
-1.136363636x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-1.136363636x + x2 = -3.5

The x term is -1.136363636x.  Take half its coefficient (-0.568181818).
Square it (0.3228305783) and add it to both sides.

Add '0.3228305783' to each side of the equation.
-1.136363636x + 0.3228305783 + x2 = -3.5 + 0.3228305783

Reorder the terms:
0.3228305783 + -1.136363636x + x2 = -3.5 + 0.3228305783

Combine like terms: -3.5 + 0.3228305783 = -3.1771694217
0.3228305783 + -1.136363636x + x2 = -3.1771694217

Factor a perfect square on the left side:
(x + -0.568181818)(x + -0.568181818) = -3.1771694217

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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