9x^4-63x^2+54=0

Simple and best practice solution for 9x^4-63x^2+54=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 9x^4-63x^2+54=0 equation: 


Simplifying
9x4 + -63x2 + 54 = 0

Reorder the terms:
54 + -63x2 + 9x4 = 0

Solving
54 + -63x2 + 9x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(6 + -7x2 + x4) = 0

Factor a trinomial.
9((1 + -1x2)(6 + -1x2)) = 0

Factor a difference between two squares.
9(((1 + x)(1 + -1x))(6 + -1x2)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(6 + -1x2)' equal to zero and attempt to solve:

Simplifying
6 + -1x2 = 0

Solving
6 + -1x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x2 = 0 + -6
-1x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1x2 = -6

Divide each side by '-1'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1

Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-2.449489743, 2.449489743, -1, 1}

See similar equations:

| 50=-4.5x-6 | | 8/17=x=10 | | y=-4.5x-6 | | x^2+6=30 | | 3a^2b(a^3+a^2b^2+b^3)= | | 48y^8-8y^3= | | x-4/8-x=0 | | x(3-x)/2x-1 | | x^2-y^2+36=0 | | (27+5y)+12=18y | | 4b-4=10v | | x-4/8-x | | 4-4/8-4 | | 8.00(4.00+x)=40.00 | | 4(x-5)+8=6x-2(4+x) | | y-60=2(x-120) | | 4x^2+15x-60=0 | | */11=*/12=-11 | | -4p=-24 | | logx=.56 | | f(x)=-3x^2-2 | | 2x^4-66x^2=-64 | | 8x^4-52x^2+44=0 | | 8/12=x/14 | | 7k+9-5k-10= | | 3x-2=6x-1 | | log(2)(6x-3)=2 | | x(x+1)+(x+2)(x+3)=42 | | z=-40x-10y+1850 | | 162=-v+31 | | 182-u=47 | | 3=x/6-5 |

Equations solver categories