22x^2-55x+35=0

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Solution for 22x^2-55x+35=0 equation:


Simplifying
22x2 + -55x + 35 = 0

Reorder the terms:
35 + -55x + 22x2 = 0

Solving
35 + -55x + 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'.
1.590909091 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-1.590909091' to each side of the equation.
1.590909091 + -2.5x + -1.590909091 + x2 = 0 + -1.590909091

Reorder the terms:
1.590909091 + -1.590909091 + -2.5x + x2 = 0 + -1.590909091

Combine like terms: 1.590909091 + -1.590909091 = 0.000000000
0.000000000 + -2.5x + x2 = 0 + -1.590909091
-2.5x + x2 = 0 + -1.590909091

Combine like terms: 0 + -1.590909091 = -1.590909091
-2.5x + x2 = -1.590909091

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -1.590909091 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -1.590909091 + 1.5625

Combine like terms: -1.590909091 + 1.5625 = -0.028409091
1.5625 + -2.5x + x2 = -0.028409091

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -0.028409091

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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