(-6(a^2+2ab+b^2))(-7(a^3+2a^2b+ab^2+a^2b+2ab^2+b^3))=0

Simple and best practice solution for (-6(a^2+2ab+b^2))(-7(a^3+2a^2b+ab^2+a^2b+2ab^2+b^3))=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 ho

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

Solution for (-6(a^2+2ab+b^2))(-7(a^3+2a^2b+ab^2+a^2b+2ab^2+b^3))=0 equation: 


Simplifying
(-6(a2 + 2ab + b2))(-7(a3 + 2a2b + ab2 + a2b + 2ab2 + b3)) = 0

Reorder the terms:
(-6(2ab + a2 + b2))(-7(a3 + 2a2b + ab2 + a2b + 2ab2 + b3)) = 0
((2ab * -6 + a2 * -6 + b2 * -6))(-7(a3 + 2a2b + ab2 + a2b + 2ab2 + b3)) = 0
((-12ab + -6a2 + -6b2))(-7(a3 + 2a2b + ab2 + a2b + 2ab2 + b3)) = 0

Reorder the terms:
(-12ab + -6a2 + -6b2)(-7(ab2 + 2ab2 + 2a2b + a2b + a3 + b3)) = 0

Combine like terms: ab2 + 2ab2 = 3ab2
(-12ab + -6a2 + -6b2)(-7(3ab2 + 2a2b + a2b + a3 + b3)) = 0

Combine like terms: 2a2b + a2b = 3a2b
(-12ab + -6a2 + -6b2)(-7(3ab2 + 3a2b + a3 + b3)) = 0
(-12ab + -6a2 + -6b2)((3ab2 * -7 + 3a2b * -7 + a3 * -7 + b3 * -7)) = 0
(-12ab + -6a2 + -6b2)((-21ab2 + -21a2b + -7a3 + -7b3)) = 0

Multiply (-12ab + -6a2 + -6b2) * (-21ab2 + -21a2b + -7a3 + -7b3)
(-12ab * (-21ab2 + -21a2b + -7a3 + -7b3) + -6a2 * (-21ab2 + -21a2b + -7a3 + -7b3) + -6b2 * (-21ab2 + -21a2b + -7a3 + -7b3)) = 0
((-21ab2 * -12ab + -21a2b * -12ab + -7a3 * -12ab + -7b3 * -12ab) + -6a2 * (-21ab2 + -21a2b + -7a3 + -7b3) + -6b2 * (-21ab2 + -21a2b + -7a3 + -7b3)) = 0

Reorder the terms:
((84ab4 + 252a2b3 + 252a3b2 + 84a4b) + -6a2 * (-21ab2 + -21a2b + -7a3 + -7b3) + -6b2 * (-21ab2 + -21a2b + -7a3 + -7b3)) = 0
((84ab4 + 252a2b3 + 252a3b2 + 84a4b) + -6a2 * (-21ab2 + -21a2b + -7a3 + -7b3) + -6b2 * (-21ab2 + -21a2b + -7a3 + -7b3)) = 0
(84ab4 + 252a2b3 + 252a3b2 + 84a4b + (-21ab2 * -6a2 + -21a2b * -6a2 + -7a3 * -6a2 + -7b3 * -6a2) + -6b2 * (-21ab2 + -21a2b + -7a3 + -7b3)) = 0

Reorder the terms:
(84ab4 + 252a2b3 + 252a3b2 + 84a4b + (42a2b3 + 126a3b2 + 126a4b + 42a5) + -6b2 * (-21ab2 + -21a2b + -7a3 + -7b3)) = 0
(84ab4 + 252a2b3 + 252a3b2 + 84a4b + (42a2b3 + 126a3b2 + 126a4b + 42a5) + -6b2 * (-21ab2 + -21a2b + -7a3 + -7b3)) = 0
(84ab4 + 252a2b3 + 252a3b2 + 84a4b + 42a2b3 + 126a3b2 + 126a4b + 42a5 + (-21ab2 * -6b2 + -21a2b * -6b2 + -7a3 * -6b2 + -7b3 * -6b2)) = 0
(84ab4 + 252a2b3 + 252a3b2 + 84a4b + 42a2b3 + 126a3b2 + 126a4b + 42a5 + (126ab4 + 126a2b3 + 42a3b2 + 42b5)) = 0

Reorder the terms:
(84ab4 + 126ab4 + 252a2b3 + 42a2b3 + 126a2b3 + 252a3b2 + 126a3b2 + 42a3b2 + 84a4b + 126a4b + 42a5 + 42b5) = 0

Combine like terms: 84ab4 + 126ab4 = 210ab4
(210ab4 + 252a2b3 + 42a2b3 + 126a2b3 + 252a3b2 + 126a3b2 + 42a3b2 + 84a4b + 126a4b + 42a5 + 42b5) = 0

Combine like terms: 252a2b3 + 42a2b3 = 294a2b3
(210ab4 + 294a2b3 + 126a2b3 + 252a3b2 + 126a3b2 + 42a3b2 + 84a4b + 126a4b + 42a5 + 42b5) = 0

Combine like terms: 294a2b3 + 126a2b3 = 420a2b3
(210ab4 + 420a2b3 + 252a3b2 + 126a3b2 + 42a3b2 + 84a4b + 126a4b + 42a5 + 42b5) = 0

Combine like terms: 252a3b2 + 126a3b2 = 378a3b2
(210ab4 + 420a2b3 + 378a3b2 + 42a3b2 + 84a4b + 126a4b + 42a5 + 42b5) = 0

Combine like terms: 378a3b2 + 42a3b2 = 420a3b2
(210ab4 + 420a2b3 + 420a3b2 + 84a4b + 126a4b + 42a5 + 42b5) = 0

Combine like terms: 84a4b + 126a4b = 210a4b
(210ab4 + 420a2b3 + 420a3b2 + 210a4b + 42a5 + 42b5) = 0

Solving
210ab4 + 420a2b3 + 420a3b2 + 210a4b + 42a5 + 42b5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '42'.
42(5ab4 + 10a2b3 + 10a3b2 + 5a4b + a5 + b5) = 0

Ignore the factor 42.

Subproblem 1
Set the factor '(5ab4 + 10a2b3 + 10a3b2 + 5a4b + a5 + b5)' equal to zero and attempt to solve:

Simplifying
5ab4 + 10a2b3 + 10a3b2 + 5a4b + a5 + b5 = 0

Solving
5ab4 + 10a2b3 + 10a3b2 + 5a4b + a5 + b5 = 0

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:

| cos15/sin75 | | 5(2u+1)=5(4u+3) | | 3+35x=5x+19 | | A^4-16a^2=0 | | 36m^2n^2+36m^2n^2+36m^4= | | 0.4x-0.36=0.28x | | 4(2.3x+7)=1.2x+52 | | 8(2x-4)=21 | | 6v^2+25v+11=8(v+7) | | x^2-2x-2.4=0 | | 3*678*987*3*1= | | -6x+3=3x-16 | | 0.4(x+0.2)-0.6(3x-5)=0.28 | | 3x-6=-14 | | 7(4x+3)=65 | | (8-x)(7-y)= | | x^2-12*x=-36 | | 16x^2-8x=1 | | 2ax^2+10x-2a^2x-10a=0 | | 16c^2-16c^2= | | 12x^3-49x^2+32x=108 | | X/75-x/65=1/12 | | 3x-6=54-7x | | 1/3-5=16/3 | | 4x^2+5x=-1.6 | | 1/3-5= | | 3x-2=0.5x+4 | | 3(1.2x-5)=0.6x | | (5x+3y-2)(2x-2y+5)=0 | | 7x+3-8x=2x+4x-6x | | (4a-3b)(2a-7b)(5a-6b+4)=0 | | 2x+x-30+x+10=180 |

Equations solver categories