-4b(4b+4)+(17b-5)=0

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Solution for -4b(4b+4)+(17b-5)=0 equation:


Simplifying
-4b(4b + 4) + (17b + -5) = 0

Reorder the terms:
-4b(4 + 4b) + (17b + -5) = 0
(4 * -4b + 4b * -4b) + (17b + -5) = 0
(-16b + -16b2) + (17b + -5) = 0

Reorder the terms:
-16b + -16b2 + (-5 + 17b) = 0

Remove parenthesis around (-5 + 17b)
-16b + -16b2 + -5 + 17b = 0

Reorder the terms:
-5 + -16b + 17b + -16b2 = 0

Combine like terms: -16b + 17b = 1b
-5 + 1b + -16b2 = 0

Solving
-5 + 1b + -16b2 = 0

Solving for variable 'b'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
0.3125 + -0.0625b + b2 = 0

Move the constant term to the right:

Add '-0.3125' to each side of the equation.
0.3125 + -0.0625b + -0.3125 + b2 = 0 + -0.3125

Reorder the terms:
0.3125 + -0.3125 + -0.0625b + b2 = 0 + -0.3125

Combine like terms: 0.3125 + -0.3125 = 0.0000
0.0000 + -0.0625b + b2 = 0 + -0.3125
-0.0625b + b2 = 0 + -0.3125

Combine like terms: 0 + -0.3125 = -0.3125
-0.0625b + b2 = -0.3125

The b term is -0.0625b.  Take half its coefficient (-0.03125).
Square it (0.0009765625) and add it to both sides.

Add '0.0009765625' to each side of the equation.
-0.0625b + 0.0009765625 + b2 = -0.3125 + 0.0009765625

Reorder the terms:
0.0009765625 + -0.0625b + b2 = -0.3125 + 0.0009765625

Combine like terms: -0.3125 + 0.0009765625 = -0.3115234375
0.0009765625 + -0.0625b + b2 = -0.3115234375

Factor a perfect square on the left side:
(b + -0.03125)(b + -0.03125) = -0.3115234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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