200x^4-144x^2=32x^6+144x^2

Simple and best practice solution for 200x^4-144x^2=32x^6+144x^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 200x^4-144x^2=32x^6+144x^2 equation: 


Simplifying
200x4 + -144x2 = 32x6 + 144x2

Reorder the terms:
-144x2 + 200x4 = 32x6 + 144x2

Reorder the terms:
-144x2 + 200x4 = 144x2 + 32x6

Solving
-144x2 + 200x4 = 144x2 + 32x6

Solving for variable 'x'.

Reorder the terms:
-144x2 + -144x2 + 200x4 + -32x6 = 144x2 + 32x6 + -144x2 + -32x6

Combine like terms: -144x2 + -144x2 = -288x2
-288x2 + 200x4 + -32x6 = 144x2 + 32x6 + -144x2 + -32x6

Reorder the terms:
-288x2 + 200x4 + -32x6 = 144x2 + -144x2 + 32x6 + -32x6

Combine like terms: 144x2 + -144x2 = 0
-288x2 + 200x4 + -32x6 = 0 + 32x6 + -32x6
-288x2 + 200x4 + -32x6 = 32x6 + -32x6

Combine like terms: 32x6 + -32x6 = 0
-288x2 + 200x4 + -32x6 = 0

Factor out the Greatest Common Factor (GCF), '8x2'.
8x2(-36 + 25x2 + -4x4) = 0

Factor a trinomial.
8x2((-4 + x2)(9 + -4x2)) = 0

Factor a difference between two squares.
8x2(((2 + x)(-2 + x))(9 + -4x2)) = 0

Factor a difference between two squares.
8x2(((3 + 2x)(3 + -2x))(2 + x)(-2 + x)) = 0

Ignore the factor 8.

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

Subproblem 4
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 5
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0, -2, 2, -1.5, 1.5}

See similar equations:

| x^2(4x^4-25x^2+36)=0 | | 5Y-2x-1=0 | | 10w=6300 | | (7k-3)=3k-5 | | (4-3i)/(2-i) | | =18a-(10a-4b) | | 2*x^2-20*x+40=0 | | 2x-4+8x=7x-8+3x+x | | 5y-2=3y+19 | | x+(x+23)=3.55 | | 5x-6y+x-4y= | | (5v+1)(8-v)=0 | | 25+34-55+299.56-15.9435+3.44545= | | 7-x=67 | | 6x^4-17x^3-2x^2+17x+6=0 | | 4m(3m+2)-3m(4-5m)= | | 6+77x=33x+10 | | 6(a-2)-2(a+3)=8 | | log(x^2-9)=0 | | 2(x-3)+(x+5)=24 | | 35x+55=265 | | 35x+55=270 | | 35x+55=250 | | 35x+55=33 | | a+2=x(3+a) | | y=-16t^2+200 | | 23x+2=2x+65 | | 23x+2=2x+66 | | 23x+2=2x+68 | | 23x+2=2x+70 | | y=505x+16.8 | | 23x+2=2x+78 |

Equations solver categories