42a^2b+95ab-25b=0

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Solution for 42a^2b+95ab-25b=0 equation: 


Simplifying
42a2b + 95ab + -25b = 0

Reorder the terms:
95ab + 42a2b + -25b = 0

Solving
95ab + 42a2b + -25b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(95a + 42a2 + -25) = 0

Factor a trinomial.
b((21a + -5)(2a + 5)) = 0


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

Simplifying
b = 0

Solving
b = 0

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

Add '-1b' to each side of the equation.
b + -1b = 0 + -1b
Remove the zero:
0 = -1b

Simplifying
0 = -1b

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(21a + -5)' equal to zero and attempt to solve:

Simplifying
21a + -5 = 0

Reorder the terms:
-5 + 21a = 0

Solving
-5 + 21a = 0

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

Add '5' to each side of the equation.
-5 + 5 + 21a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 21a = 0 + 5
21a = 0 + 5

Combine like terms: 0 + 5 = 5
21a = 5

Divide each side by '21'.
a = 0.2380952381

Simplifying
a = 0.2380952381

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

Simplifying
2a + 5 = 0

Reorder the terms:
5 + 2a = 0

Solving
5 + 2a = 0

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

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

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

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

Divide each side by '2'.
a = -2.5

Simplifying
a = -2.5
Solution
a = {0.2380952381, -2.5}

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