7b^2-80b+100=

Solution for 7b^2-80b+100= equation:

Simplifying
7b2 + -80b + 100 = 0

Reorder the terms:
100 + -80b + 7b2 = 0

Solving
100 + -80b + 7b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(10 + -7b)(10 + -1b) = 0

Subproblem 1
Set the factor '(10 + -7b)' equal to zero and attempt to solve:

Simplifying
10 + -7b = 0

Solving
10 + -7b = 0

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

Add '-10' to each side of the equation.
10 + -10 + -7b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -7b = 0 + -10
-7b = 0 + -10

Combine like terms: 0 + -10 = -10
-7b = -10

Divide each side by '-7'.
b = 1.428571429

Simplifying
b = 1.428571429
Subproblem 2
Set the factor '(10 + -1b)' equal to zero and attempt to solve:

Simplifying
10 + -1b = 0

Solving
10 + -1b = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1b = 0 + -10
-1b = 0 + -10

Combine like terms: 0 + -10 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10
Solution
b = {1.428571429, 10}