60m^6+90m^4+100m^2=

Simple and best practice solution for 60m^6+90m^4+100m^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 60m^6+90m^4+100m^2= equation: 


Simplifying
60m6 + 90m4 + 100m2 = 0

Reorder the terms:
100m2 + 90m4 + 60m6 = 0

Solving
100m2 + 90m4 + 60m6 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '10m2'.
10m2(10 + 9m2 + 6m4) = 0

Ignore the factor 10.

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 '(10 + 9m2 + 6m4)' equal to zero and attempt to solve:

Simplifying
10 + 9m2 + 6m4 = 0

Solving
10 + 9m2 + 6m4 = 0

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

Divide each side by '6'.
1.666666667 + 1.5m2 + m4 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 1.5m2 + -1.666666667 + m4 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 1.5m2 + m4 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 1.5m2 + m4 = 0 + -1.666666667
1.5m2 + m4 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
1.5m2 + m4 = -1.666666667

The m term is 1.5m2.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5m2 + 0.5625 + m4 = -1.666666667 + 0.5625

Reorder the terms:
0.5625 + 1.5m2 + m4 = -1.666666667 + 0.5625

Combine like terms: -1.666666667 + 0.5625 = -1.104166667
0.5625 + 1.5m2 + m4 = -1.104166667

Factor a perfect square on the left side:
(m2 + 0.75)(m2 + 0.75) = -1.104166667

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:

| K+6k=-14 | | x^2+3a+81=0 | | k^4-10k^2+9=0 | | (3-x)(x+7)=0 | | -3x-3-2=7 | | 7=b+2-6b | | -23-1/8p=3/8p | | -9+(6m)-3+6+(1+4m)= | | 24d^2+39d-18=x | | 4x+32=16 | | 2x^2+8x+20= | | 1.5x*2(6)=1.8x | | 4(3x-2)=1/2x-8 | | 5(x-21)=8x | | x/10=9/15 | | 4/7=32/x | | 8(-3X^3)= | | (6x+3)+(20x-15)= | | 10y+2=36 | | X+4x+8x=60+x | | (2*3.14)(r*6)=94.2 | | 5x+45=-45 | | 17y+13=13y-17 | | 2x(-3)=6+x | | 2s-40=12 | | 2s-40=112 | | 76+104+104+25+1=360 | | (4.5*10000)/(300) | | 3(X-4)=9x+4-2x | | 14=6(x+5) | | -7z-8x=45 | | -2y+-20=8 |

Equations solver categories