25x^2-30x+11=0

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Solution for 25x^2-30x+11=0 equation:


Simplifying
25x2 + -30x + 11 = 0

Reorder the terms:
11 + -30x + 25x2 = 0

Solving
11 + -30x + 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'.
0.44 + -1.2x + x2 = 0

Move the constant term to the right:

Add '-0.44' to each side of the equation.
0.44 + -1.2x + -0.44 + x2 = 0 + -0.44

Reorder the terms:
0.44 + -0.44 + -1.2x + x2 = 0 + -0.44

Combine like terms: 0.44 + -0.44 = 0.00
0.00 + -1.2x + x2 = 0 + -0.44
-1.2x + x2 = 0 + -0.44

Combine like terms: 0 + -0.44 = -0.44
-1.2x + x2 = -0.44

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -0.44 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -0.44 + 0.36

Combine like terms: -0.44 + 0.36 = -0.08
0.36 + -1.2x + x2 = -0.08

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -0.08

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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