30x^2b-87xb+30b=0

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Solution for 30x^2b-87xb+30b=0 equation: 


Simplifying
30x2b + -87xb + 30b = 0

Reorder the terms:
30b + -87bx + 30bx2 = 0

Solving
30b + -87bx + 30bx2 = 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), '3b'.
3b(10 + -29x + 10x2) = 0

Factor a trinomial.
3b((2 + -5x)(5 + -2x)) = 0

Ignore the factor 3.

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 '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

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

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

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

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

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

Simplifying
0 = -2 + 5x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

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

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

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

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

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

Simplifying
0 = -5 + 2x

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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