(6a^3+2b^2)(5a^3-2b^2)=0

Simple and best practice solution for (6a^3+2b^2)(5a^3-2b^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^3+2b^2)(5a^3-2b^2)=0 equation: 


Simplifying
(6a3 + 2b2)(5a3 + -2b2) = 0

Multiply (6a3 + 2b2) * (5a3 + -2b2)
(6a3 * (5a3 + -2b2) + 2b2 * (5a3 + -2b2)) = 0
((5a3 * 6a3 + -2b2 * 6a3) + 2b2 * (5a3 + -2b2)) = 0

Reorder the terms:
((-12a3b2 + 30a6) + 2b2 * (5a3 + -2b2)) = 0
((-12a3b2 + 30a6) + 2b2 * (5a3 + -2b2)) = 0
(-12a3b2 + 30a6 + (5a3 * 2b2 + -2b2 * 2b2)) = 0
(-12a3b2 + 30a6 + (10a3b2 + -4b4)) = 0

Reorder the terms:
(-12a3b2 + 10a3b2 + 30a6 + -4b4) = 0

Combine like terms: -12a3b2 + 10a3b2 = -2a3b2
(-2a3b2 + 30a6 + -4b4) = 0

Solving
-2a3b2 + 30a6 + -4b4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1a3b2 + 15a6 + -2b4) = 0

Factor a trinomial.
2((5a3 + -2b2)(3a3 + b2)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5a3 + -2b2)' equal to zero and attempt to solve:

Simplifying
5a3 + -2b2 = 0

Solving
5a3 + -2b2 = 0

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

Add '2b2' to each side of the equation.
5a3 + -2b2 + 2b2 = 0 + 2b2

Combine like terms: -2b2 + 2b2 = 0
5a3 + 0 = 0 + 2b2
5a3 = 0 + 2b2
Remove the zero:
5a3 = 2b2

Divide each side by '5'.
a3 = 0.4b2

Simplifying
a3 = 0.4b2

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 '(3a3 + b2)' equal to zero and attempt to solve:

Simplifying
3a3 + b2 = 0

Solving
3a3 + b2 = 0

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

Add '-1b2' to each side of the equation.
3a3 + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
3a3 + 0 = 0 + -1b2
3a3 = 0 + -1b2
Remove the zero:
3a3 = -1b2

Divide each side by '3'.
a3 = -0.3333333333b2

Simplifying
a3 = -0.3333333333b2

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:

| 8(4b+b+3)= | | 2a+5a=7a-3a | | 150y-15y^2=0 | | X^5=x^2 | | (7x-3)(5x+6)= | | 4b-4-12b-7= | | 5x-4=3x-8 | | 20x-50x-17=1 | | -4u^2+4u+48=0 | | 1/4(8x+16)=-10 | | 5+3i/3-4i | | 59/(40/360) | | 8.333*12= | | 59=3.1459*r^2 | | (4x+9)/8 | | 5.8(3+3x)-4.4=13 | | (4s+2)(6s^2-s+2)=0 | | 50=3.14159*r^2 | | 2x+2/3=14/3 | | 3x=24.5 | | (9-x+x^2)(15+x+x^2)=equation | | 16/-6 | | 1/4(8+16)=-10 | | 72-2x=7x-75 | | 9+5y=-91 | | x+1/2+3=x+4/8 | | 2(4-4x)+1=2(x+2)-5x | | -2(9-y)=-8 | | x/3-2=x/7+2 | | 3r+9/12=4r-1/15 | | 2[3-(-3)]= | | 2.5x+2.4=4.7 |

Equations solver categories