4x^4-36x^2=0

Simple and best practice solution for 4x^4-36x^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 4x^4-36x^2=0 equation:


Simplifying
4x4 + -36x2 = 0

Reorder the terms:
-36x2 + 4x4 = 0

Solving
-36x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-9 + x2) = 0

Factor a difference between two squares.
4x2((3 + x)(-3 + 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 '(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 = {0, -3, 3}

See similar equations:

| 2a^2-30a+108=0 | | (x+2)(x+6)=12 | | y=x^2-10x+20 | | -5y=y+6 | | 4x^2+3x+5=0 | | 9x+16x=4x | | 2x^2+5x=3 | | -6(7-3y)+4y=10(2y-4) | | 6*t^2-30*t+24=0 | | 4x^2+x+1=0 | | 4x-3=x+5 | | 2x*3x=24 | | 7(x+3)=3(x+19) | | 7(x-3)=42-5x | | -5(x-9)=4x+36 | | (3x+7)=(4x+2) | | 4(x-3)=42-5x | | 14=4(v+7)-6v | | 3x-1=90-10x | | 8x+7=3x+47 | | 6-20=2x-9x | | 11x+6=4x+48 | | 16x^2+16x=4 | | 6x^2+7x-9=0 | | 7p-11=2p+4 | | 4v-13-10v=12-24v+5 | | 5(2m+3)-4=8m+27 | | 7-7x=48-14x | | 3w-13w=70 | | 5=h-32 | | x+3=52 | | 28-7r=7(4-r) |

Equations solver categories