3m^4+20m^2=7

Simple and best practice solution for 3m^4+20m^2=7 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 3m^4+20m^2=7 equation: 


Simplifying
3m4 + 20m2 = 7

Reorder the terms:
20m2 + 3m4 = 7

Solving
20m2 + 3m4 = 7

Solving for variable 'm'.

Reorder the terms:
-7 + 20m2 + 3m4 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 20m2 + 3m4 = 0

Factor a trinomial.
(-7 + -1m2)(1 + -3m2) = 0


Subproblem 1
Set the factor '(-7 + -1m2)' equal to zero and attempt to solve:

Simplifying
-7 + -1m2 = 0

Solving
-7 + -1m2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1m2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1m2 = 0 + 7
-1m2 = 0 + 7

Combine like terms: 0 + 7 = 7
-1m2 = 7

Divide each side by '-1'.
m2 = -7

Simplifying
m2 = -7

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 '(1 + -3m2)' equal to zero and attempt to solve:

Simplifying
1 + -3m2 = 0

Solving
1 + -3m2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3m2 = 0 + -1
-3m2 = 0 + -1

Combine like terms: 0 + -1 = -1
-3m2 = -1

Divide each side by '-3'.
m2 = 0.3333333333

Simplifying
m2 = 0.3333333333

Take the square root of each side:
m = {-0.577350269, 0.577350269}
Solution
m = {-0.577350269, 0.577350269}

See similar equations:

| 8x^9/4 | | r/4+5=8 | | x*.20=1200 | | 13/20-3/15 | | 7x=5(x+1)1+1 | | 7c^2(c+9)+2(c+9)= | | 22-5=5z-4z | | 2A+70=180 | | 10(a-6)-3a(a-6)= | | 4=12-6x-x^2 | | 2c^2-12c+18= | | 8x-7=8(x-5) | | -2x+5y=-40 | | x=2/3x-4 | | 4x+16y=-32 | | 10-2(-8)= | | (x+1)(5x-6)=0 | | 1/2(4x-6)=-9 | | 6xy+24y=0 | | -3-5(-6)= | | 70+x+x=180 | | (5000)(0.06)(5)= | | 9(y-3)=6+10y | | 150=(0.20)x+x | | -3g=-51 | | 3q+2=14 | | 6-2u=2 | | 10(x-1)+12x=188 | | 54=2.4w | | 116+x+3x=180 | | 3(4c-1)-5=10c+8 | | e^-9/f^-6 |

Equations solver categories