18x^5+15x^4z-75x^3z^2=0

Simple and best practice solution for 18x^5+15x^4z-75x^3z^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 18x^5+15x^4z-75x^3z^2=0 equation: 


Simplifying
18x5 + 15x4z + -75x3z2 = 0

Reorder the terms:
-75x3z2 + 15x4z + 18x5 = 0

Solving
-75x3z2 + 15x4z + 18x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x3'.
3x3(-25z2 + 5xz + 6x2) = 0

Factor a trinomial.
3x3((-5z + -2x)(5z + -3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
-5z + -2x = 0

Reorder the terms:
-2x + -5z = 0

Solving
-2x + -5z = 0

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

Add '5z' to each side of the equation.
-2x + -5z + 5z = 0 + 5z

Combine like terms: -5z + 5z = 0
-2x + 0 = 0 + 5z
-2x = 0 + 5z
Remove the zero:
-2x = 5z

Divide each side by '-2'.
x = -2.5z

Simplifying
x = -2.5z

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

Simplifying
5z + -3x = 0

Reorder the terms:
-3x + 5z = 0

Solving
-3x + 5z = 0

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

Add '-5z' to each side of the equation.
-3x + 5z + -5z = 0 + -5z

Combine like terms: 5z + -5z = 0
-3x + 0 = 0 + -5z
-3x = 0 + -5z
Remove the zero:
-3x = -5z

Divide each side by '-3'.
x = 1.666666667z

Simplifying
x = 1.666666667z
Solution
x = {-2.5z, 1.666666667z}

See similar equations:

| 4m+-24= | | 23=3y-(-5) | | (2w+3)+(2w+w)= | | 12+5v=2v | | 15-7x-2x^2=0 | | 3(64x)=2(6x+9) | | 1-10k=-309 | | 2x+2-x+2=1 | | ln(x)-ln(3)=17 | | 1-5k=-309 | | -20=2v-6v | | 8-3(4x-2)+5x=35 | | 28-3(2w+1)=5w-3(5+w) | | 4x^2-1x-14=0 | | 18e=-219 | | 5b+11=7-6b | | X+8+2x=20 | | 13-2x=26 | | 2x-2-4x=6 | | 3.5s-42=4t | | 1=2a+1 | | 8x-(x-6)=20 | | |x-11|+5=2 | | 5b-6b=8 | | 7+2h=1 | | 6(k+4)-(5+9k)=-4k | | 7+5(1+2x)=-2(5+6x) | | 8(8x+4)=-32-7x | | 3x+2x+20x= | | 2y+4=-5 | | 15=-5(4-7x) | | 6(v+4)-2v=2(2v+2)-11 |

Equations solver categories