3x^4=243

Simple and best practice solution for 3x^4=243 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=243 equation:


Simplifying
3x4 = 243

Solving
3x4 = 243

Solving for variable 'x'.

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

Divide each side by '3'.
x4 = 81

Simplifying
x4 = 81

Reorder the terms:
-81 + x4 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + x4 = 0

Factor a difference between two squares.
(9 + x2)(-9 + x2) = 0

Factor a difference between two squares.
(9 + x2)((3 + x)(-3 + x)) = 0

Subproblem 1

Set the factor '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 3

Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Solution

x = {-3, 3}

See similar equations:

| x-a=y-6 | | (28)+3x-2+(28)=6x | | 8-10x=163-45x | | 17+n=12+3 | | 3[6x-2(y-2)]= | | -2x^2-11x-11=0 | | =60-14x+6x^2 | | 49x^2-7x-2=0 | | 2x+13=10x | | 6x+5=5x+6 | | 5n+35=45 | | 7y=9-4y | | 65=-5p | | 110=40*x | | 3(4-x)-3(-7-11x)= | | x*65=282 | | 2x-5x+8x-20=0 | | 2x+14=5x+1 | | 1=-x+3 | | 3.9*x=35.88 | | 8(2x-3)-5(3x-4)=10 | | 10(x-4)-10(4-x)=40 | | 3(2p+6)-4(p-1)= | | 4x^2+16x+15=y | | 6=n+4 | | 6x-3+4x=11x+2-x | | 6(y-2)=3y-33 | | 10*x=4.2433 | | 1-7x=19+2x | | 13(3-2x)+4(x+1)=7 | | 11=40*x | | -2+2x=+6 |

Equations solver categories