24a^2b+35ab-49b=0

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Solution for 24a^2b+35ab-49b=0 equation: 


Simplifying
24a2b + 35ab + -49b = 0

Reorder the terms:
35ab + 24a2b + -49b = 0

Solving
35ab + 24a2b + -49b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(35a + 24a2 + -49) = 0

Factor a trinomial.
b((8a + -7)(3a + 7)) = 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 '(8a + -7)' equal to zero and attempt to solve:

Simplifying
8a + -7 = 0

Reorder the terms:
-7 + 8a = 0

Solving
-7 + 8a = 0

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

Add '7' to each side of the equation.
-7 + 7 + 8a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 8a = 0 + 7
8a = 0 + 7

Combine like terms: 0 + 7 = 7
8a = 7

Divide each side by '8'.
a = 0.875

Simplifying
a = 0.875

Subproblem 3
Set the factor '(3a + 7)' equal to zero and attempt to solve:

Simplifying
3a + 7 = 0

Reorder the terms:
7 + 3a = 0

Solving
7 + 3a = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3a = 0 + -7
3a = 0 + -7

Combine like terms: 0 + -7 = -7
3a = -7

Divide each side by '3'.
a = -2.333333333

Simplifying
a = -2.333333333
Solution
a = {0.875, -2.333333333}

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