25b^2-4b+16=0

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Solution for 25b^2-4b+16=0 equation:


Simplifying
25b2 + -4b + 16 = 0

Reorder the terms:
16 + -4b + 25b2 = 0

Solving
16 + -4b + 25b2 = 0

Solving for variable 'b'.

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

Divide each side by '25'.
0.64 + -0.16b + b2 = 0

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + -0.16b + -0.64 + b2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + -0.16b + b2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + -0.16b + b2 = 0 + -0.64
-0.16b + b2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
-0.16b + b2 = -0.64

The b term is -0.16b.  Take half its coefficient (-0.08).
Square it (0.0064) and add it to both sides.

Add '0.0064' to each side of the equation.
-0.16b + 0.0064 + b2 = -0.64 + 0.0064

Reorder the terms:
0.0064 + -0.16b + b2 = -0.64 + 0.0064

Combine like terms: -0.64 + 0.0064 = -0.6336
0.0064 + -0.16b + b2 = -0.6336

Factor a perfect square on the left side:
(b + -0.08)(b + -0.08) = -0.6336

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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