4x^4-65x^2+16=0

Simple and best practice solution for 4x^4-65x^2+16=0 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 4x^4-65x^2+16=0 equation: 


Simplifying
4x4 + -65x2 + 16 = 0

Reorder the terms:
16 + -65x2 + 4x4 = 0

Solving
16 + -65x2 + 4x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -4x2)(16 + -1x2) = 0

Factor a difference between two squares.
((1 + 2x)(1 + -2x))(16 + -1x2) = 0

Factor a difference between two squares.
((4 + x)(4 + -1x))(1 + 2x)(1 + -2x) = 0


Subproblem 1
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 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 4
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.5, 0.5, -4, 4}

See similar equations:

| s= | | 2x-119=127 | | 8x+46=70 | | 2-a/3=15 | | 3x+2=3(5+x) | | 5x+29=314 | | 64-(4(K^2+1)*7)=0 | | 769330000000=x^2+x^2 | | x^2-2x-66=0 | | 2x-6=4x+28 | | 13x-53=64 | | x^3-3x^2-x=3 | | 72=16[t*t]+vt | | 5+4x-4=6+3x | | -4(2y+3)= | | -2x+6*7=56 | | 35x^2+6x-8=0 | | 72=16+2+vt | | 81x^2+72x^2+16=0 | | 18x^2+72x^2+16=0 | | x+(x+8)=106 | | 3x-15=6x+21 | | 0.3(5x-9)=7 | | x+4x=2 | | 2x-2x= | | -6+x-7=1-4x | | 5(d-1.1)=2(d+4.3) | | 2x^2-18x+28=0 | | 2x^2-18+28=0 | | 8b-6b=0 | | 8x^3(y^3)+8000=0 | | 6w-60=-8-4w |

Equations solver categories