(2a^2+b)(3a^2-3b)=

Simple and best practice solution for (2a^2+b)(3a^2-3b)= 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 (2a^2+b)(3a^2-3b)= equation: 


Simplifying
(2a2 + b)(3a2 + -3b) = 0

Multiply (2a2 + b) * (3a2 + -3b)
(2a2 * (3a2 + -3b) + b(3a2 + -3b)) = 0
((3a2 * 2a2 + -3b * 2a2) + b(3a2 + -3b)) = 0

Reorder the terms:
((-6a2b + 6a4) + b(3a2 + -3b)) = 0
((-6a2b + 6a4) + b(3a2 + -3b)) = 0
(-6a2b + 6a4 + (3a2 * b + -3b * b)) = 0
(-6a2b + 6a4 + (3a2b + -3b2)) = 0

Reorder the terms:
(-6a2b + 3a2b + 6a4 + -3b2) = 0

Combine like terms: -6a2b + 3a2b = -3a2b
(-3a2b + 6a4 + -3b2) = 0

Solving
-3a2b + 6a4 + -3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1a2b + 2a4 + -1b2) = 0

Factor a trinomial.
3((a2 + -1b)(2a2 + b)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(a2 + -1b)' equal to zero and attempt to solve:

Simplifying
a2 + -1b = 0

Solving
a2 + -1b = 0

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

Add 'b' to each side of the equation.
a2 + -1b + b = 0 + b

Combine like terms: -1b + b = 0
a2 + 0 = 0 + b
a2 = 0 + b
Remove the zero:
a2 = b

Simplifying
a2 = b

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 '(2a2 + b)' equal to zero and attempt to solve:

Simplifying
2a2 + b = 0

Solving
2a2 + b = 0

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

Add '-1b' to each side of the equation.
2a2 + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
2a2 + 0 = 0 + -1b
2a2 = 0 + -1b
Remove the zero:
2a2 = -1b

Divide each side by '2'.
a2 = -0.5b

Simplifying
a2 = -0.5b

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

See similar equations:

| 46+.14x=55+.10x | | -2/5×-2 | | 4x^2-4y+3x+1=0 | | 4x^2-4xy+4y^2-16=0 | | 6m-2m+11=-3m-5-m | | X-(2x+y)=3 | | 16x+10-10x=22+4x+18 | | 1.7r-1.5r= | | 17+4x=105 | | (6x+4y)(x-y)= | | Xsquare=225 | | 69.3x=2 | | -3(x+4)=19 | | (-4)(9v)-4a(7)= | | H=-16t^2+125t+4 | | x÷1/3=4 | | 10b^4=6250 | | -7/3x=14 | | 9=.3x | | ax-c=bx+b | | 0=x^3-13x+12 | | 7x+-26=5x+10 | | 61/6=5/6y | | x-1/3=71/6 | | 67.5x=877.5 | | -(-3)-4(3)-3= | | 52(18+x)=1200 | | 29m=116 | | 11x+7=19x-25 | | 5+x=5.6 | | (4x+4y)=32 | | A÷1/4=4/5 |

Equations solver categories