25x^2-28x+9=0

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Solution for 25x^2-28x+9=0 equation:


Simplifying
25x2 + -28x + 9 = 0

Reorder the terms:
9 + -28x + 25x2 = 0

Solving
9 + -28x + 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'.
0.36 + -1.12x + x2 = 0

Move the constant term to the right:

Add '-0.36' to each side of the equation.
0.36 + -1.12x + -0.36 + x2 = 0 + -0.36

Reorder the terms:
0.36 + -0.36 + -1.12x + x2 = 0 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + -1.12x + x2 = 0 + -0.36
-1.12x + x2 = 0 + -0.36

Combine like terms: 0 + -0.36 = -0.36
-1.12x + x2 = -0.36

The x term is -1.12x.  Take half its coefficient (-0.56).
Square it (0.3136) and add it to both sides.

Add '0.3136' to each side of the equation.
-1.12x + 0.3136 + x2 = -0.36 + 0.3136

Reorder the terms:
0.3136 + -1.12x + x2 = -0.36 + 0.3136

Combine like terms: -0.36 + 0.3136 = -0.0464
0.3136 + -1.12x + x2 = -0.0464

Factor a perfect square on the left side:
(x + -0.56)(x + -0.56) = -0.0464

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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