0=18x^2+9xz+z^2

Simple and best practice solution for 0=18x^2+9xz+z^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 0=18x^2+9xz+z^2 equation: 


Simplifying
0 = 18x2 + 9xz + z2

Reorder the terms:
0 = 9xz + 18x2 + z2

Solving
0 = 9xz + 18x2 + z2

Solving for variable 'x'.
Remove the zero:
-9xz + -18x2 + -1z2 = 9xz + 18x2 + z2 + -9xz + -18x2 + -1z2

Reorder the terms:
-9xz + -18x2 + -1z2 = 9xz + -9xz + 18x2 + -18x2 + z2 + -1z2

Combine like terms: 9xz + -9xz = 0
-9xz + -18x2 + -1z2 = 0 + 18x2 + -18x2 + z2 + -1z2
-9xz + -18x2 + -1z2 = 18x2 + -18x2 + z2 + -1z2

Combine like terms: 18x2 + -18x2 = 0
-9xz + -18x2 + -1z2 = 0 + z2 + -1z2
-9xz + -18x2 + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-9xz + -18x2 + -1z2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9xz + 18x2 + z2) = 0

Factor a trinomial.
-1((6x + z)(3x + z)) = 0

Ignore the factor -1.

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

Simplifying
6x + z = 0

Solving
6x + z = 0

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

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

Combine like terms: z + -1z = 0
6x + 0 = 0 + -1z
6x = 0 + -1z
Remove the zero:
6x = -1z

Divide each side by '6'.
x = -0.1666666667z

Simplifying
x = -0.1666666667z

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

Simplifying
3x + z = 0

Solving
3x + z = 0

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

Add '-1z' to each side of the equation.
3x + z + -1z = 0 + -1z

Combine like terms: z + -1z = 0
3x + 0 = 0 + -1z
3x = 0 + -1z
Remove the zero:
3x = -1z

Divide each side by '3'.
x = -0.3333333333z

Simplifying
x = -0.3333333333z
Solution
x = {-0.1666666667z, -0.3333333333z}

See similar equations:

| X+765*19g= | | 1/8e=u | | 6x-33=4x-5 | | 0=y^3-5y^2-14y | | 7n+3=3n+5 | | 3cos^2x-5sinx-1=0 | | 100=8z+12 | | 160/5=108/x | | 5(-5-3)3/4 | | 81/z-(10)=1 | | (x+k)(2x+5)=x^2+13x+20 | | 4x+9=-19-10 | | 7/9x+8=5x | | (X)(x+1)+(x+2)=(x+2)-9 | | -40-3x=14-9 | | 20+x+2x+x-10=4x+2x-20 | | 10x^2/20x | | 1000000=x*2x | | 1000=(x*2x)e-2 | | X-10+2x+20=4x+40 | | 1000=sqrt(x*2x) | | 2(x+10)=x-10+2x+10 | | 2(4x+x)=25 | | 11x-4=7x+12 | | 4x+10+6x+10-5x=84 | | =7y+8x+3y+2x+9 | | =12(x+4)-(9x+3) | | =9(x-5)+7(x+3) | | 6(8x-3)=24x | | =9(x+5)+7(x-3) | | =18+(x-4)2-4 | | =5x+2(x+8) |

Equations solver categories