=6a^2+5ab-6b^2

Simple and best practice solution for =6a^2+5ab-6b^2 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+5ab-6b^2 equation: 


Simplifying
0 = 6a2 + 5ab + -6b2

Reorder the terms:
0 = 5ab + 6a2 + -6b2

Solving
0 = 5ab + 6a2 + -6b2

Solving for variable 'a'.
Remove the zero:
-5ab + -6a2 + 6b2 = 5ab + 6a2 + -6b2 + -5ab + -6a2 + 6b2

Reorder the terms:
-5ab + -6a2 + 6b2 = 5ab + -5ab + 6a2 + -6a2 + -6b2 + 6b2

Combine like terms: 5ab + -5ab = 0
-5ab + -6a2 + 6b2 = 0 + 6a2 + -6a2 + -6b2 + 6b2
-5ab + -6a2 + 6b2 = 6a2 + -6a2 + -6b2 + 6b2

Combine like terms: 6a2 + -6a2 = 0
-5ab + -6a2 + 6b2 = 0 + -6b2 + 6b2
-5ab + -6a2 + 6b2 = -6b2 + 6b2

Combine like terms: -6b2 + 6b2 = 0
-5ab + -6a2 + 6b2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
a = {-1.5b, 0.6666666667b}

See similar equations:

| 2x^3(x^3+7x+2)= | | 113-4x=41x+18 | | 9-6x=32-16x | | 64x^6-27y^9= | | 3000-120x=1500-4000-160x | | 3*6-16/2 | | =4x^2y^3-8x^4y^3-12x^2y^4 | | 9x^5+6x^4=x^3 | | 6-10/5*3 | | =6y^4-8y^3-2y^2 | | 5x+8y=56 | | 8x-22=3x-3 | | 5x+2y=31 | | 250000/325000 | | -(-9x+1)=40 | | y=-1/7*x-7 | | 3(-2x+1)=-36 | | 2+x=5+2x | | 7+3n=-29 | | -2(x-8)=42 | | 2/3x3/8 | | 6a=8+4a | | -9(x+6)=-26 | | 105-5x=4+6 | | 2x^4+11x^3-5x^2-43x+35=0 | | (6u^4w^3-4u^3y^2)/2u^4 | | 4/5+5/27=x/45 | | 5w^3+7w^2+10w+14= | | 2x^2-11xy-21y^2= | | 11x-8=-24 | | x/10+6=-19 | | 2x^2-13xy+21y^2= |

Equations solver categories