4x^4-16x^2=

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


Simplifying
4x4 + -16x2 = 0

Reorder the terms:
-16x2 + 4x4 = 0

Solving
-16x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-4 + x2) = 0

Factor a difference between two squares.
4x2((2 + x)(-2 + x)) = 0

Ignore the factor 4.

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 '(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 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

Solution

x = {0, -2, 2}

See similar equations:

| 3t^2-10t+7=0 | | 7c+5=-23 | | 6x-5x+3x-5+4x= | | 3t-10t+7=0 | | 8x-3=6x-15 | | 10x^2-9xy+2y^2=0 | | 4+2y=9+2y | | 5(-8+3p)-2[2(-4p+3)]= | | -5(2t+-3)+7t=3t-8 | | 5w^2+22w+21=0 | | -(x-8)=14 | | 3a-12+2a=-3a+14 | | 2x^3y-10x^2y-14xy=0 | | 5(-8+3p)-2[2(-4p+3)]+31p-18= | | 17+3y=18x-28 | | 7f-5=1 | | 2.1x-3.9+x-3.4= | | 8x+2=7(x-2)+5 | | 2x+6-3x=5x-9 | | 18-6+4=x | | 3x-4=3(x-6) | | 4x+5x^2-24=0 | | 5b-5-12b-9= | | 20+8q-11=-12 | | 8x=30+5x | | 53-7x=2x+18 | | 4(x-3)=-2(x-4) | | ax-3b+7c=0 | | 12=10+12 | | ax-3b=7c | | -1(x+2)=5(x+1) | | 2x^2-3=-53 |

Equations solver categories