x^4+8x^2+16+4=5x^2+20

Simple and best practice solution for x^4+8x^2+16+4=5x^2+20 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 x^4+8x^2+16+4=5x^2+20 equation: 


Simplifying
x4 + 8x2 + 16 + 4 = 5x2 + 20

Reorder the terms:
16 + 4 + 8x2 + x4 = 5x2 + 20

Combine like terms: 16 + 4 = 20
20 + 8x2 + x4 = 5x2 + 20

Reorder the terms:
20 + 8x2 + x4 = 20 + 5x2

Add '-20' to each side of the equation.
20 + 8x2 + -20 + x4 = 20 + -20 + 5x2

Reorder the terms:
20 + -20 + 8x2 + x4 = 20 + -20 + 5x2

Combine like terms: 20 + -20 = 0
0 + 8x2 + x4 = 20 + -20 + 5x2
8x2 + x4 = 20 + -20 + 5x2

Combine like terms: 20 + -20 = 0
8x2 + x4 = 0 + 5x2
8x2 + x4 = 5x2

Solving
8x2 + x4 = 5x2

Solving for variable 'x'.

Reorder the terms:
8x2 + -5x2 + x4 = 5x2 + -5x2

Combine like terms: 8x2 + -5x2 = 3x2
3x2 + x4 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
3x2 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(3 + x2) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

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

Subproblem 2
Set the factor '(3 + x2)' equal to zero and attempt to solve:

Simplifying
3 + x2 = 0

Solving
3 + x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x2 = 0 + -3
x2 = 0 + -3

Combine like terms: 0 + -3 = -3
x2 = -3

Simplifying
x2 = -3

The solution to this equation could not be determined.

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

See similar equations:

| 32*3*3*3=x | | 8n+17n-12n+15n= | | 89*183= | | 12x+15y=-12 | | -2m-8=4(3m+7)+20 | | 12y=6y+42 | | i/6=11/30 | | 0.12(y-7)+0.14y=0.18y-1.2 | | -52=-4(v+9) | | 4x/6-x/12=7/4 | | 11x+7(x-5)=22 | | x^5/2×e^x | | 9n-2=5n-14 | | 14v^2+45v+25= | | -8(-2+a)=26 | | 25+4y=0 | | 612+25.50x=1836 | | -4x+1-2x=-11 | | 5/7i | | 4x-5+2x+9=180 | | 8x-(3x-9)= | | 2x^2y+16xy+30y=0 | | -21x+63=0 | | 18/5=183/x | | -26+x=-26 | | 7(1/2x)=21 | | 34=.0021x^2-.286x+16.28 | | 4v^3+10v^2= | | 4x-x+9=3(x+2)+3 | | 4y+25=0 | | Y=2500-15(N-8) | | -6y+8=-2(4y+4) |

Equations solver categories