81x^3=100x

Simple and best practice solution for 81x^3=100x 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 81x^3=100x equation:


Simplifying
81x3 = 100x

Solving
81x3 = 100x

Solving for variable 'x'.

Reorder the terms:
-100x + 81x3 = 100x + -100x

Combine like terms: 100x + -100x = 0
-100x + 81x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-100 + 81x2) = 0

Factor a difference between two squares.
x((10 + 9x)(-10 + 9x)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(10 + 9x)' equal to zero and attempt to solve: Simplifying 10 + 9x = 0 Solving 10 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 0 + -10 9x = 0 + -10 Combine like terms: 0 + -10 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111

Subproblem 3

Set the factor '(-10 + 9x)' equal to zero and attempt to solve: Simplifying -10 + 9x = 0 Solving -10 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 0 + 10 9x = 0 + 10 Combine like terms: 0 + 10 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111

Solution

x = {0, -1.111111111, 1.111111111}

See similar equations:

| -4p-13=3+4p | | -7+9=c+1 | | 4x+6=3x+15 | | -3(x+11)=6(-4x-13) | | 4x+12=3x+15 | | 2p^2=12p+54 | | x-3*y=4 | | 4z-2=7+1 | | 3s^2-13s=-12 | | x-3y=4 | | x^2+12x+26=27 | | 1.26=-1.44 | | 9x=-6x-30 | | 4y+16=3.3y-1.3 | | s^2+9s=-20 | | x/5-9=9 | | 75a^3+90a^2+27a=0 | | w/3+18=21 | | 38.5=9/5(F-32) | | 5x=9x-15 | | k+23.7=23.7 | | 30x^2+5x-10=0 | | y=4x-4 | | F=9/5(38.5-32) | | X^2+10x+25=36 | | 2r^2+392=56r | | 6n-1=5n-7 | | 8x+24=12x | | 38.5=5/9(F-32) | | x^4-3x^2-8x^3=0 | | 6y=4y^2 | | 16x+280=8x^2 |

Equations solver categories