121+198x^6+18x^12=0

Simple and best practice solution for 121+198x^6+18x^12=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 121+198x^6+18x^12=0 equation:


Simplifying
121 + 198x6 + 18x12 = 0

Solving
121 + 198x6 + 18x12 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
18 the coefficient of the squared term: 

Divide each side by '18'.
6.722222222 + 11x6 + x12 = 0

Move the constant term to the right:

Add '-6.722222222' to each side of the equation.
6.722222222 + 11x6 + -6.722222222 + x12 = 0 + -6.722222222

Reorder the terms:
6.722222222 + -6.722222222 + 11x6 + x12 = 0 + -6.722222222

Combine like terms: 6.722222222 + -6.722222222 = 0.000000000
0.000000000 + 11x6 + x12 = 0 + -6.722222222
11x6 + x12 = 0 + -6.722222222

Combine like terms: 0 + -6.722222222 = -6.722222222
11x6 + x12 = -6.722222222

The x term is 11x6.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x6 + 30.25 + x12 = -6.722222222 + 30.25

Reorder the terms:
30.25 + 11x6 + x12 = -6.722222222 + 30.25

Combine like terms: -6.722222222 + 30.25 = 23.527777778
30.25 + 11x6 + x12 = 23.527777778

Factor a perfect square on the left side:
(x6 + 5.5)(x6 + 5.5) = 23.527777778

Calculate the square root of the right side: 4.85054407

Break this problem into two subproblems by setting 
(x6 + 5.5) equal to 4.85054407 and -4.85054407.

Subproblem 1

x6 + 5.5 = 4.85054407 Simplifying x6 + 5.5 = 4.85054407 Reorder the terms: 5.5 + x6 = 4.85054407 Solving 5.5 + x6 = 4.85054407 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x6 = 4.85054407 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x6 = 4.85054407 + -5.5 x6 = 4.85054407 + -5.5 Combine like terms: 4.85054407 + -5.5 = -0.64945593 x6 = -0.64945593 Simplifying x6 = -0.64945593 Reorder the terms: 0.64945593 + x6 = -0.64945593 + 0.64945593 Combine like terms: -0.64945593 + 0.64945593 = 0.00000000 0.64945593 + x6 = 0.00000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

Subproblem 2

x6 + 5.5 = -4.85054407 Simplifying x6 + 5.5 = -4.85054407 Reorder the terms: 5.5 + x6 = -4.85054407 Solving 5.5 + x6 = -4.85054407 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x6 = -4.85054407 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x6 = -4.85054407 + -5.5 x6 = -4.85054407 + -5.5 Combine like terms: -4.85054407 + -5.5 = -10.35054407 x6 = -10.35054407 Simplifying x6 = -10.35054407 Reorder the terms: 10.35054407 + x6 = -10.35054407 + 10.35054407 Combine like terms: -10.35054407 + 10.35054407 = 0.00000000 10.35054407 + x6 = 0.00000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 5(7m+3-2m-2)23-44me+n-4= | | 800+Y+8=868 | | 22x-y=24 | | 0=5x-21 | | 5x-4=3x-2x+1 | | y=5/2x-4 | | w^2-9w=252 | | C=0.25x+20 | | 5y-4=3y+5 | | a^5+b^5c^5=0 | | x^2-9w=252 | | 3(a+3)=-12 | | 9(6+c)=5(c-6) | | 12Y-3=9Y-9 | | 4=(15-24a)/6 | | 250(t+2)= | | (12a^5b^4/3a^6b^-2)^2 | | (X-40)(x-60)=0 | | 8y=0+18 | | 60m^7+60m^4-42m^2= | | 0=-16x+38.8x+3 | | 9+5(y-7)=13 | | 0=3x+18 | | 17x^20y^13/16x^5y^6 | | 3x-26=701 | | 3/x+4=2x | | x-26= | | 3(7x-9)-8=21x-35 | | 2.8y+6+.2y=5y-14 | | 5r-29=-37+9r | | 0=-20+2p | | 5-6x=(4x+3) |

Equations solver categories