6a^2+13ab+6b^2=0

Simple and best practice solution for 6a^2+13ab+6b^2=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 6a^2+13ab+6b^2=0 equation: 


Simplifying
6a2 + 13ab + 6b2 = 0

Reorder the terms:
13ab + 6a2 + 6b2 = 0

Solving
13ab + 6a2 + 6b2 = 0

Solving for variable 'a'.

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


Subproblem 1
Set the factor '(3a + 2b)' equal to zero and attempt to solve:

Simplifying
3a + 2b = 0

Solving
3a + 2b = 0

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

Add '-2b' to each side of the equation.
3a + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
3a + 0 = 0 + -2b
3a = 0 + -2b
Remove the zero:
3a = -2b

Divide each side by '3'.
a = -0.6666666667b

Simplifying
a = -0.6666666667b

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

Simplifying
2a + 3b = 0

Solving
2a + 3b = 0

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

Add '-3b' to each side of the equation.
2a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
2a + 0 = 0 + -3b
2a = 0 + -3b
Remove the zero:
2a = -3b

Divide each side by '2'.
a = -1.5b

Simplifying
a = -1.5b
Solution
a = {-0.6666666667b, -1.5b}

See similar equations:

| 96/16 | | 4(1+5n)=124 | | b/19-7=-2 | | 53=5+4x | | -2(2x+1)=-x+5 | | 2(2x+1)=-x+5 | | r/3=r+16/5 | | 3.0=1.5n | | 2x^2+16-28=0 | | (2)=3x | | 256=-8(5n-7) | | 7x+19=50 | | -2(2x+2)=-x+5 | | -3+m/3=-12 | | h/6=-7 | | 2/5x=18 | | -1/4*133.6+20.5 | | 3f+5=4f | | 2s-3s=40 | | 1.75g=207 | | 198=6(1+4m) | | 2(2x+2)=x+5 | | -17+v=3 | | 5m+3m=32 | | 2(2x+2)=-x+5 | | 2.5x=18 | | A(2a+5)=0 | | -1/4*133.6+20.5=12.9 | | t+5-2t=-13 | | 4p-2=30 | | -400=-8(7r-6) | | -3x-27=-3 |

Equations solver categories