28b^2-200b+28=0

Solution for 28b^2-200b+28=0 equation:

Simplifying
28b2 + -200b + 28 = 0

Reorder the terms:
28 + -200b + 28b2 = 0

Solving
28 + -200b + 28b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -50b + 7b2) = 0

Factor a trinomial.
4((1 + -7b)(7 + -1b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -7b)' equal to zero and attempt to solve:

Simplifying
1 + -7b = 0

Solving
1 + -7b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -7b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7b = 0 + -1
-7b = 0 + -1

Combine like terms: 0 + -1 = -1
-7b = -1

Divide each side by '-7'.
b = 0.1428571429

Simplifying
b = 0.1428571429
Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {0.1428571429, 7}