7b^2+b+4=4

Solution for 7b^2+b+4=4 equation:

Simplifying
7b2 + b + 4 = 4

Reorder the terms:
4 + b + 7b2 = 4

Add '-4' to each side of the equation.
4 + b + -4 + 7b2 = 4 + -4

Reorder the terms:
4 + -4 + b + 7b2 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + b + 7b2 = 4 + -4
b + 7b2 = 4 + -4

Combine like terms: 4 + -4 = 0
b + 7b2 = 0

Solving
b + 7b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(1 + 7b) = 0

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
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
Solution
b = {0, -0.1428571429}