3x^4+27x^2-7=-x^4

Simple and best practice solution for 3x^4+27x^2-7=-x^4 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 3x^4+27x^2-7=-x^4 equation: 


Simplifying
3x4 + 27x2 + -7 = -1x4

Reorder the terms:
-7 + 27x2 + 3x4 = -1x4

Solving
-7 + 27x2 + 3x4 = -1x4

Solving for variable 'x'.

Combine like terms: 3x4 + x4 = 4x4
-7 + 27x2 + 4x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-7 + 27x2 + 4x4 = 0

Factor a trinomial.
(-7 + -1x2)(1 + -4x2) = 0

Factor a difference between two squares.
(-7 + -1x2)((1 + 2x)(1 + -2x)) = 0


Subproblem 1
Set the factor '(-7 + -1x2)' equal to zero and attempt to solve:

Simplifying
-7 + -1x2 = 0

Solving
-7 + -1x2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x2 = 0 + 7
-1x2 = 0 + 7

Combine like terms: 0 + 7 = 7
-1x2 = 7

Divide each side by '-1'.
x2 = -7

Simplifying
x2 = -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 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-0.5, 0.5}

See similar equations:

| -4(n+7)=3(n-5)+8 | | 123504.13/(-123456.79012346*(1-127943.46*Z)^-1)= | | v+32=8v+18 | | 5x-3+2=37 | | -211p=14 | | 3y=-1x+5 | | 6m^2+13m*28=0 | | 4u=3u+19 | | 9x^2-16x+60=x | | 6x^2=-21x | | 7*c=c+12 | | 0.66666667(9x-21)=5 | | 9*b=b+40 | | h^2+(7+h^2)=169 | | 5/3=n/4 | | 2(9-12v)=-11(v+2)-3v | | 9-3(x-4)=4 | | (123504.13/x)=127943.46Z-1 | | 4x^2-36/2x^2-10x-48 | | Z(Y)=127943.46 | | x-40=-65+6x | | -6(x-1)=-8(x-6) | | 4n-15=-7+8n | | (23504.13/x)=y | | (4x+5)(2x+3)=0 | | 123504.13/x=y | | 7z-29=-38+4z | | 20-(4/5)x16 | | 5+(-h)=12 | | 24=-37t | | 1,728(4/3) | | 8+.143x=9 |

Equations solver categories