1=x^4-20*x^2+65

Simple and best practice solution for 1=x^4-20*x^2+65 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 1=x^4-20*x^2+65 equation: 


Simplifying
1 = x4 + -20x2 + 65

Reorder the terms:
1 = 65 + -20x2 + x4

Solving
1 = 65 + -20x2 + x4

Solving for variable 'x'.

Combine like terms: 1 + -65 = -64
-64 + 20x2 + -1x4 = 65 + -20x2 + x4 + -65 + 20x2 + -1x4

Reorder the terms:
-64 + 20x2 + -1x4 = 65 + -65 + -20x2 + 20x2 + x4 + -1x4

Combine like terms: 65 + -65 = 0
-64 + 20x2 + -1x4 = 0 + -20x2 + 20x2 + x4 + -1x4
-64 + 20x2 + -1x4 = -20x2 + 20x2 + x4 + -1x4

Combine like terms: -20x2 + 20x2 = 0
-64 + 20x2 + -1x4 = 0 + x4 + -1x4
-64 + 20x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-64 + 20x2 + -1x4 = 0

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

Factor a difference between two squares.
((4 + x)(-4 + x))(4 + -1x2) = 0

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


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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2

Subproblem 4
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-4, 4, -2, 2}

See similar equations:

| 3-2=2x | | 3=2x-2 | | 10x+3y-4x= | | 3(2y-x)-7(x+3y)= | | -16t^2+88t+104=1 | | 2*ln(x)=6.9 | | y=4z+3 | | -6(x-2)=-6+(-x+2) | | 2*lnx=68 | | 10+2(5y-1)=7(y+9) | | 4r+10b=958 | | 2.5x-2.67=4.5x | | 28y+3=19 | | 22+8p=6+3(6p+2) | | z+15=33 | | 4m+17=5m+10 | | A+5a=18 | | v-6+5=11-5v | | 6-x=-13 | | 4+5n-2=7 | | 8k-7-5k=-12k-2k | | -12=n-4n | | z-10=6 | | -3r-6r=9 | | 12x+24=x | | 132-11x=330 | | 13-y=3 | | x^2(114-4x)= | | 1=1+2v+6 | | 5(x-1)+3x+12=-33 | | -17=2-5x+6 | | 9-y=-2 |

Equations solver categories