=(m^3+2n^2)(9m^3+12n^2)

Simple and best practice solution for =(m^3+2n^2)(9m^3+12n^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 =(m^3+2n^2)(9m^3+12n^2) equation: 


Simplifying
0 = (m3 + 2n2)(9m3 + 12n2)

Multiply (m3 + 2n2) * (9m3 + 12n2)
0 = (m3(9m3 + 12n2) + 2n2 * (9m3 + 12n2))
0 = ((9m3 * m3 + 12n2 * m3) + 2n2 * (9m3 + 12n2))

Reorder the terms:
0 = ((12m3n2 + 9m6) + 2n2 * (9m3 + 12n2))
0 = ((12m3n2 + 9m6) + 2n2 * (9m3 + 12n2))
0 = (12m3n2 + 9m6 + (9m3 * 2n2 + 12n2 * 2n2))
0 = (12m3n2 + 9m6 + (18m3n2 + 24n4))

Reorder the terms:
0 = (12m3n2 + 18m3n2 + 9m6 + 24n4)

Combine like terms: 12m3n2 + 18m3n2 = 30m3n2
0 = (30m3n2 + 9m6 + 24n4)

Solving
0 = 30m3n2 + 9m6 + 24n4

Solving for variable 'm'.
Remove the zero:
-30m3n2 + -9m6 + -24n4 = 30m3n2 + 9m6 + 24n4 + -30m3n2 + -9m6 + -24n4

Reorder the terms:
-30m3n2 + -9m6 + -24n4 = 30m3n2 + -30m3n2 + 9m6 + -9m6 + 24n4 + -24n4

Combine like terms: 30m3n2 + -30m3n2 = 0
-30m3n2 + -9m6 + -24n4 = 0 + 9m6 + -9m6 + 24n4 + -24n4
-30m3n2 + -9m6 + -24n4 = 9m6 + -9m6 + 24n4 + -24n4

Combine like terms: 9m6 + -9m6 = 0
-30m3n2 + -9m6 + -24n4 = 0 + 24n4 + -24n4
-30m3n2 + -9m6 + -24n4 = 24n4 + -24n4

Combine like terms: 24n4 + -24n4 = 0
-30m3n2 + -9m6 + -24n4 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(10m3n2 + 3m6 + 8n4) = 0

Factor a trinomial.
-3((3m3 + 4n2)(m3 + 2n2)) = 0

Ignore the factor -3.

Subproblem 1
Set the factor '(3m3 + 4n2)' equal to zero and attempt to solve:

Simplifying
3m3 + 4n2 = 0

Solving
3m3 + 4n2 = 0

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

Add '-4n2' to each side of the equation.
3m3 + 4n2 + -4n2 = 0 + -4n2

Combine like terms: 4n2 + -4n2 = 0
3m3 + 0 = 0 + -4n2
3m3 = 0 + -4n2
Remove the zero:
3m3 = -4n2

Divide each side by '3'.
m3 = -1.333333333n2

Simplifying
m3 = -1.333333333n2

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 '(m3 + 2n2)' equal to zero and attempt to solve:

Simplifying
m3 + 2n2 = 0

Solving
m3 + 2n2 = 0

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

Add '-2n2' to each side of the equation.
m3 + 2n2 + -2n2 = 0 + -2n2

Combine like terms: 2n2 + -2n2 = 0
m3 + 0 = 0 + -2n2
m3 = 0 + -2n2
Remove the zero:
m3 = -2n2

Simplifying
m3 = -2n2

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:

| 8x^3+6x^2-12x-9= | | =(3ab+9)(3ab+7) | | -12-2x=8(8x+7)-2 | | y=x^4+8x^3-20x^2-72x-63 | | 4(3x+2)-16=16 | | 2y-6+14y+8=-2y-2 | | 34+3a=-7(1+a)+1 | | y=x^2-25 | | 6x^2+4x+11=0 | | 7x(8x-5)=0 | | y=x^3-8x^2+11x+20 | | 5(13x)=25+10x | | -28+6m+10m^2=0 | | 13x-(5x-11)=-13 | | -48+x=-8(7+x)+10x | | y=x^2-x-56 | | 8(3b-8)=10b+48 | | X^2+4x=-4 | | 9m-(4m-8)=53 | | -48-7n=9n-5(4n+8) | | s^2+4s-21= | | 4(1+4x)=7x+40 | | 5m-(6m+9)=11 | | 3x+1y+1z=10 | | 40-6x=-10(9x-4) | | 4x^3+6x^2-26x-14=0 | | 43+10n=3(8n-9) | | -5(m-9)=27-7m | | -2(x-5)=8-2x | | 10m-21=3(9+6m) | | 3x+2x-1=99 | | 10+7x+4x=120 |

Equations solver categories