3x^6+9x^4-30x^2=0

Simple and best practice solution for 3x^6+9x^4-30x^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 3x^6+9x^4-30x^2=0 equation:


Simplifying
3x6 + 9x4 + -30x2 = 0

Reorder the terms:
-30x2 + 9x4 + 3x6 = 0

Solving
-30x2 + 9x4 + 3x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-10 + 3x2 + x4) = 0

Factor a trinomial.
3x2((-5 + -1x2)(2 + -1x2)) = 0

Ignore the factor 3.

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 '(-5 + -1x2)' equal to zero and attempt to solve: Simplifying -5 + -1x2 = 0 Solving -5 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x2 = 0 + 5 -1x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1x2 = 5 Divide each side by '-1'. x2 = -5 Simplifying x2 = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 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 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}

Solution

x = {0, -1.414213562, 1.414213562}

See similar equations:

| 7x+1y=80000 | | (16/81)3/4 | | 2cos^2x+3sinx+3=0 | | Y/-12=-36 | | (1-3i)*(5-2zi)=(2i-3)*(3z+2i) | | 3x-(1/7)x=120 | | 4xsquared-8x= | | 8x+9x=37 | | 5(h+1)+3(h-2)=12 | | (x^3-2x^2)+1=0 | | y^2*(120-y)=1.25 | | 8x+3x=32 | | 7x+3x=-1 | | 120y^2-y^3=1.25 | | 3x+20x=200 | | 9x+2x=105 | | 4x+3x=92 | | ln(x/6)=-6 | | 100=80+x | | 0.25b+0.50=13.75 | | 484=4*5.5 | | 4x=9+7 | | 2y^2-6y-9=0 | | y=-3.310log(X)+29.82 | | 3x+4x+5x=3840 | | X^2+2xifX=-2 | | 4x-1=6x-4 | | X^2+2xwhenX=-2 | | x-33=3x-699 | | x/4-2=250 | | x=5a+2*(3-a)-6 | | 12*n+1*(2n+2)=100 |

Equations solver categories