6z^2-11z+15=12z-5

Simple and best practice solution for 6z^2-11z+15=12z-5 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 6z^2-11z+15=12z-5 equation: 


Simplifying
6z2 + -11z + 15 = 12z + -5

Reorder the terms:
15 + -11z + 6z2 = 12z + -5

Reorder the terms:
15 + -11z + 6z2 = -5 + 12z

Solving
15 + -11z + 6z2 = -5 + 12z

Solving for variable 'z'.

Reorder the terms:
15 + 5 + -11z + -12z + 6z2 = -5 + 12z + 5 + -12z

Combine like terms: 15 + 5 = 20
20 + -11z + -12z + 6z2 = -5 + 12z + 5 + -12z

Combine like terms: -11z + -12z = -23z
20 + -23z + 6z2 = -5 + 12z + 5 + -12z

Reorder the terms:
20 + -23z + 6z2 = -5 + 5 + 12z + -12z

Combine like terms: -5 + 5 = 0
20 + -23z + 6z2 = 0 + 12z + -12z
20 + -23z + 6z2 = 12z + -12z

Combine like terms: 12z + -12z = 0
20 + -23z + 6z2 = 0

Factor a trinomial.
(4 + -3z)(5 + -2z) = 0


Subproblem 1
Set the factor '(4 + -3z)' equal to zero and attempt to solve:

Simplifying
4 + -3z = 0

Solving
4 + -3z = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3z = 0 + -4

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

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

Divide each side by '-3'.
z = 1.333333333

Simplifying
z = 1.333333333

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

Simplifying
5 + -2z = 0

Solving
5 + -2z = 0

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

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

Combine like terms: 5 + -5 = 0
0 + -2z = 0 + -5
-2z = 0 + -5

Combine like terms: 0 + -5 = -5
-2z = -5

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

Simplifying
z = 2.5
Solution
z = {1.333333333, 2.5}

See similar equations:

| 11/12-2/12 | | -2y-8x=24 | | 24x^8-21x^5-3x^2=0 | | 800x+4y=9344 | | x(-22)=40 | | 35+0.25=53.75 | | K-1/2=1 | | (6x)-x=3600 | | 7/10-1/10 | | 5083688+477783x=(6*648043)+648043x | | 7z+19=6z+1 | | -16n+4=-14n-2 | | -4t^2+7t+10=0 | | -12+1p=76-2p | | 6x-3600=x | | 3(m-3)=-9+15 | | 1-(7/x^2-9) | | -6y-2x=36 | | c/3-1=2 | | 26x-9-14x+4=23x-9-11x+13 | | 500x+6y=11216 | | 7log(3x)+5log(3x)=15 | | 2x+3x=10-5x | | (x-12)*-6=-84 | | 5/10-3/10 | | 2(3x-9)=34 | | (x-12)-6=-84 | | 2(5x-6)=4(x+6) | | 2(x+3)=-x-3 | | 3x+2=2(x+2) | | 6x-9=53 | | 4.2=63 |

Equations solver categories