(3z+1)(6-z)=0

Simple and best practice solution for (3z+1)(6-z)=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 (3z+1)(6-z)=0 equation:


Simplifying
(3z + 1)(6 + -1z) = 0

Reorder the terms:
(1 + 3z)(6 + -1z) = 0

Multiply (1 + 3z) * (6 + -1z)
(1(6 + -1z) + 3z * (6 + -1z)) = 0
((6 * 1 + -1z * 1) + 3z * (6 + -1z)) = 0
((6 + -1z) + 3z * (6 + -1z)) = 0
(6 + -1z + (6 * 3z + -1z * 3z)) = 0
(6 + -1z + (18z + -3z2)) = 0

Combine like terms: -1z + 18z = 17z
(6 + 17z + -3z2) = 0

Solving
6 + 17z + -3z2 = 0

Solving for variable 'z'.

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

Subproblem 1

Set the factor '(6 + -1z)' equal to zero and attempt to solve: Simplifying 6 + -1z = 0 Solving 6 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = 0 + -6 -1z = 0 + -6 Combine like terms: 0 + -6 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6

Subproblem 2

Set the factor '(1 + 3z)' equal to zero and attempt to solve: Simplifying 1 + 3z = 0 Solving 1 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 0 + -1 3z = 0 + -1 Combine like terms: 0 + -1 = -1 3z = -1 Divide each side by '3'. z = -0.3333333333 Simplifying z = -0.3333333333

Solution

z = {6, -0.3333333333}

See similar equations:

| 2/5.6 | | 11x^3-9x^2-10x=0 | | 4b^2-8b+2=0 | | -6(2n+3)+4(n-4)=-50 | | -0.5x-1=x-4 | | -(8+4)= | | x+7x-12=20 | | 8x-14y=22 | | 17=-7z+3 | | 3*4+4= | | Y=2x^2-5x+3 | | 2(20)+10=50 | | -3n^2-14n+13=-4n^2+5 | | D+17=34 | | 6:3-11=5d+7 | | -(-6+5)= | | 1/3b=15 | | B+(-10)=0 | | -(-9+3)= | | 3(x-2)-7=-4(x-5) | | 3ax+2b=4cd | | 2f=100 | | 5x+10=7x+10 | | 4w=w+3 | | 5/8m=25 | | x(1248)+(-234)= | | 1+1+1+1+1+1=n | | 5y-3=6 | | 2-5n=2(2n-8) | | n+(n+1)+(n+2)=-15 | | 6a+3a-5=7am-23 | | 3*0*4-4*4= |

Equations solver categories