16x^4-81x^2=0

Simple and best practice solution for 16x^4-81x^2=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 16x^4-81x^2=0 equation:


Simplifying
16x4 + -81x2 = 0

Reorder the terms:
-81x2 + 16x4 = 0

Solving
-81x2 + 16x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-81 + 16x2) = 0

Factor a difference between two squares.
x2((9 + 4x)(-9 + 4x)) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 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 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25

Subproblem 3

Set the factor '(-9 + 4x)' equal to zero and attempt to solve: Simplifying -9 + 4x = 0 Solving -9 + 4x = 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 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25

Solution

x = {0, -2.25, 2.25}

See similar equations:

| 2x=-1:6 | | 2x+74=7x-14 | | 3x-(7)=x | | 2n+3.1=6.7 | | 0=a^2+6a-27 | | a^4=6a^2+27 | | 3-6y+5=2y+12-6 | | .2x=275 | | 9m^2+25=0 | | x*.2+25=300 | | 400=x^2+x^2-6x | | 2(x+4)=2x-5 | | 4-16=-2y | | 0=4s^2-44s+112 | | 2/9m=2/3 | | .2x+25=300 | | 2:3x=-1:7 | | 2:3=-1:7 | | f(x)=-2x^2+2x+2 | | 2:3x=-1;7 | | 4y^2+28y+49=0 | | -0.7x=-35 | | 0=4t^2-56t+160 | | 84x^(4/3)-42x^(-1/2) | | 4t^2-56t+160=0 | | 14-(4m+5)=2+3m-14 | | 17y=2(8y-5) | | -x+7=-9 | | 1/3(3m-6)1/4(5m+4)+1/5(2m-9)=-3 | | -11.4xf+5.4x=48 | | m^2+22=23m | | -3-13=5x+17-4x |

Equations solver categories