25x^2-34x+16=0

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Solution for 25x^2-34x+16=0 equation:


Simplifying
25x2 + -34x + 16 = 0

Reorder the terms:
16 + -34x + 25x2 = 0

Solving
16 + -34x + 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'.
0.64 + -1.36x + x2 = 0

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + -1.36x + -0.64 + x2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + -1.36x + x2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + -1.36x + x2 = 0 + -0.64
-1.36x + x2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
-1.36x + x2 = -0.64

The x term is -1.36x.  Take half its coefficient (-0.68).
Square it (0.4624) and add it to both sides.

Add '0.4624' to each side of the equation.
-1.36x + 0.4624 + x2 = -0.64 + 0.4624

Reorder the terms:
0.4624 + -1.36x + x2 = -0.64 + 0.4624

Combine like terms: -0.64 + 0.4624 = -0.1776
0.4624 + -1.36x + x2 = -0.1776

Factor a perfect square on the left side:
(x + -0.68)(x + -0.68) = -0.1776

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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