5bx^2+2bx+b=0

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Solution for 5bx^2+2bx+b=0 equation: 


Simplifying
5bx2 + 2bx + b = 0

Reorder the terms:
b + 2bx + 5bx2 = 0

Solving
b + 2bx + 5bx2 = 0

Solving for variable 'b'.

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

Factor out the Greatest Common Factor (GCF), 'b'.
b(1 + 2x + 5x2) = 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 + 2x + 5x2)' equal to zero and attempt to solve:

Simplifying
1 + 2x + 5x2 = 0

Solving
1 + 2x + 5x2 = 0

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

Add '-1' to each side of the equation.
1 + 2x + -1 + 5x2 = 0 + -1

Reorder the terms:
1 + -1 + 2x + 5x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x + 5x2 = 0 + -1
2x + 5x2 = 0 + -1

Combine like terms: 0 + -1 = -1
2x + 5x2 = -1

Add '-2x' to each side of the equation.
2x + -2x + 5x2 = -1 + -2x

Combine like terms: 2x + -2x = 0
0 + 5x2 = -1 + -2x
5x2 = -1 + -2x

Add '-5x2' to each side of the equation.
5x2 + -5x2 = -1 + -2x + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 = -1 + -2x + -5x2

Simplifying
0 = -1 + -2x + -5x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}

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