30a^2b+91ab-49b=0

Simple and best practice solution for 30a^2b+91ab-49b=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 30a^2b+91ab-49b=0 equation: 


Simplifying
30a2b + 91ab + -49b = 0

Reorder the terms:
91ab + 30a2b + -49b = 0

Solving
91ab + 30a2b + -49b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(91a + 30a2 + -49) = 0

Factor a trinomial.
b((15a + -7)(2a + 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 '(15a + -7)' equal to zero and attempt to solve:

Simplifying
15a + -7 = 0

Reorder the terms:
-7 + 15a = 0

Solving
-7 + 15a = 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 + 15a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 15a = 0 + 7
15a = 0 + 7

Combine like terms: 0 + 7 = 7
15a = 7

Divide each side by '15'.
a = 0.4666666667

Simplifying
a = 0.4666666667

Subproblem 3
Set the factor '(2a + 7)' equal to zero and attempt to solve:

Simplifying
2a + 7 = 0

Reorder the terms:
7 + 2a = 0

Solving
7 + 2a = 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 + 2a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2a = 0 + -7
2a = 0 + -7

Combine like terms: 0 + -7 = -7
2a = -7

Divide each side by '2'.
a = -3.5

Simplifying
a = -3.5
Solution
a = {0.4666666667, -3.5}

See similar equations:

| 5x-8=88-3x | | 8x^6-12= | | .4h^2+.8h=.2 | | factorizex^2-10x-11=0 | | 64x^2-(3-8x^2)=87 | | X/3=-5/2 | | 3a^2+7a-49=0 | | 4x+2-x=4-2x | | -12x^2+3x-16=0 | | -3-x=4yz+19 | | 29-6x=-3x+18 | | 8x+4=4.4x+8 | | -8=8x+8 | | 14-7x=-134-28x | | 2.30+x=1 | | 3a^2b+7ab-49b=0 | | 24.50=10g+1y | | -27-7=10x+24 | | -3y+4w=3 | | 48x-9=-5+5x | | R^2-10r+22=0 | | 2.1-b=-1 | | 2a-b=-1 | | 9(6x-5)=2 | | 46-11x=16+4x | | 10x+1y=24.50 | | 6x^2y^2-93xy^2-210y^2=0 | | 4-(-(-2))-8y=9 | | 5n^2-12n+8=0 | | 9a+3=2a+17 | | y=60+3x | | (y+3)(y-8)=9 |

Equations solver categories