16x^5-25x^3+9x=0

Simple and best practice solution for 16x^5-25x^3+9x=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 16x^5-25x^3+9x=0 equation: 


Simplifying
16x5 + -25x3 + 9x = 0

Reorder the terms:
9x + -25x3 + 16x5 = 0

Solving
9x + -25x3 + 16x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + -25x2 + 16x4) = 0

Factor a trinomial.
x((9 + -16x2)(1 + -1x2)) = 0

Factor a difference between two squares.
x(((3 + 4x)(3 + -4x))(1 + -1x2)) = 0

Factor a difference between two squares.
x(((1 + x)(1 + -1x))(3 + 4x)(3 + -4x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 4
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 5
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 = {0, -0.75, 0.75, -1, 1}

See similar equations:

| 4b-2+8b=-2 | | 16=w-8 | | t+11=-23 | | 8c-4-c=17 | | 4-5y=-16 | | 4-5=-16 | | -54=2m | | -3c=-45 | | -25=n+10 | | r-15=-7 | | -3x+3=-15 | | -4+2=-10 | | 8-3m=26 | | 39=-3x | | p+13=8 | | a-5=10 | | 80=8(7r-4) | | -5=10 | | 4b=28 | | 2a=-24 | | 9-6=1 | | m+9=13 | | 2-5=-3 | | 10+3y=1 | | -2r=-46 | | 10x+8=7x+23 | | 6x-38=-8 | | 4(x+5)=-2(x-28) | | 12(x+5)=-3(x-30) | | -2a+3+3a=15-24 | | 3n+14=13 | | 2x+(-11x)= |

Equations solver categories