25x^2+26x+22=0

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Solution for 25x^2+26x+22=0 equation:


Simplifying
25x2 + 26x + 22 = 0

Reorder the terms:
22 + 26x + 25x2 = 0

Solving
22 + 26x + 25x2 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
0.88 + 1.04x + x2 = 0

Move the constant term to the right:

Add '-0.88' to each side of the equation.
0.88 + 1.04x + -0.88 + x2 = 0 + -0.88

Reorder the terms:
0.88 + -0.88 + 1.04x + x2 = 0 + -0.88

Combine like terms: 0.88 + -0.88 = 0.00
0.00 + 1.04x + x2 = 0 + -0.88
1.04x + x2 = 0 + -0.88

Combine like terms: 0 + -0.88 = -0.88
1.04x + x2 = -0.88

The x term is 1.04x.  Take half its coefficient (0.52).
Square it (0.2704) and add it to both sides.

Add '0.2704' to each side of the equation.
1.04x + 0.2704 + x2 = -0.88 + 0.2704

Reorder the terms:
0.2704 + 1.04x + x2 = -0.88 + 0.2704

Combine like terms: -0.88 + 0.2704 = -0.6096
0.2704 + 1.04x + x2 = -0.6096

Factor a perfect square on the left side:
(x + 0.52)(x + 0.52) = -0.6096

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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