40x^2-24x+25=0

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Solution for 40x^2-24x+25=0 equation:


Simplifying
40x2 + -24x + 25 = 0

Reorder the terms:
25 + -24x + 40x2 = 0

Solving
25 + -24x + 40x2 = 0

Solving for variable 'x'.

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

Divide each side by '40'.
0.625 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + -0.6x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + -0.6x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + -0.6x + x2 = 0 + -0.625
-0.6x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
-0.6x + x2 = -0.625

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.625 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.625 + 0.09

Combine like terms: -0.625 + 0.09 = -0.535
0.09 + -0.6x + x2 = -0.535

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.535

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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