10m^4-12m^3+4m^2=

Simple and best practice solution for 10m^4-12m^3+4m^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 10m^4-12m^3+4m^2= equation: 


Simplifying
10m4 + -12m3 + 4m2 = 0

Reorder the terms:
4m2 + -12m3 + 10m4 = 0

Solving
4m2 + -12m3 + 10m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m2'.
2m2(2 + -6m + 5m2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}

Subproblem 2
Set the factor '(2 + -6m + 5m2)' equal to zero and attempt to solve:

Simplifying
2 + -6m + 5m2 = 0

Solving
2 + -6m + 5m2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
0.4 + -1.2m + m2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -1.2m + -0.4 + m2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -1.2m + m2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.2m + m2 = 0 + -0.4
-1.2m + m2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-1.2m + m2 = -0.4

The m term is -1.2m.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2m + 0.36 + m2 = -0.4 + 0.36

Reorder the terms:
0.36 + -1.2m + m2 = -0.4 + 0.36

Combine like terms: -0.4 + 0.36 = -0.04
0.36 + -1.2m + m2 = -0.04

Factor a perfect square on the left side:
(m + -0.6)(m + -0.6) = -0.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

See similar equations:

| 4x-7=-6 | | -36-5x=14-10 | | 22x^2-25x=0 | | 3d^2-6d= | | 5(4y-5)-(2y+8)= | | X-5+x=5 | | 2k^4+4k^3-6k-8= | | 40n^5+70n^4-30n^3= | | 4t^5-12t^3+8t^2= | | 52-5x=4x+21 | | 6+8x=35-2x | | 4-n=-3 | | 9-9x=57-37x | | 0=-48-16t^2+64t | | 2x-5=-13 | | 270-2x=43x+20 | | ln(3)-2*ln(6+9)=0 | | 6x-88=32-2x | | 3(2x-3)=4x-5 | | 3d+8=2d+16 | | 3(x-8)=-12.9 | | 4(a+3)=26.4 | | 75-7x=60-42x | | 39.8=6c-7 | | 5e-5=33 | | 5x-10x+6=-3x+6 | | 9p=8.1 | | 4(x-5)=0 | | 4x-2=x+19 | | 6m+85=-32 | | 8(a+5)=104 | | 6e-3=51 |

Equations solver categories