x^2(x^2-9)-64(x^2-9)=0

Simple and best practice solution for x^2(x^2-9)-64(x^2-9)=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 x^2(x^2-9)-64(x^2-9)=0 equation: 


Simplifying
x2(x2 + -9) + -64(x2 + -9) = 0

Reorder the terms:
x2(-9 + x2) + -64(x2 + -9) = 0
(-9 * x2 + x2 * x2) + -64(x2 + -9) = 0
(-9x2 + x4) + -64(x2 + -9) = 0

Reorder the terms:
-9x2 + x4 + -64(-9 + x2) = 0
-9x2 + x4 + (-9 * -64 + x2 * -64) = 0
-9x2 + x4 + (576 + -64x2) = 0

Reorder the terms:
576 + -9x2 + -64x2 + x4 = 0

Combine like terms: -9x2 + -64x2 = -73x2
576 + -73x2 + x4 = 0

Solving
576 + -73x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -1x2)(64 + -1x2) = 0

Factor a difference between two squares.
((3 + x)(3 + -1x))(64 + -1x2) = 0

Factor a difference between two squares.
((8 + x)(8 + -1x))(3 + x)(3 + -1x) = 0


Subproblem 1
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 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 3
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

Subproblem 4
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-3, 3, -8, 8}

See similar equations:

| G/-10=-1 | | 3(5y-8)-(4y+6)= | | A/7=-10 | | n+21=40 | | 3-5[2-(5y-5)]= | | 6=71-2x+5 | | 35x^2-77x+14= | | 4-2[5-(4y-5)]= | | 2x+8-4x=22-50 | | z-14=-18 | | 179-v=227 | | y=5-6 | | 3+8*x=19 | | 36/3x=6 | | -13-10=7x+21 | | z^2+2x-24=0 | | 6-9(n)=48 | | -2/3+y=-4/7 | | 8x+24x+80=32 | | 9(t-4)+3t=4(3t+4)-11 | | 6-(n)=48 | | 6x3x1/18+9+0 | | 2/3x-1/3=7/3 | | .71x=20 | | 4(n+4)=20 | | 6t-t=t-10 | | -(5y+4)-(-4y-5)=7 | | -3x+7=49-3x | | X^6-5x^3+4=0 | | 2x+3y=62 | | (2/7x)+(1/4)=(5/14x)-(1/3) | | 14x-1=7x+69 |

Equations solver categories