(3z+4)(7-z)=0

Simple and best practice solution for (3z+4)(7-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+4)(7-z)=0 equation: 


Simplifying
(3z + 4)(7 + -1z) = 0

Reorder the terms:
(4 + 3z)(7 + -1z) = 0

Multiply (4 + 3z) * (7 + -1z)
(4(7 + -1z) + 3z * (7 + -1z)) = 0
((7 * 4 + -1z * 4) + 3z * (7 + -1z)) = 0
((28 + -4z) + 3z * (7 + -1z)) = 0
(28 + -4z + (7 * 3z + -1z * 3z)) = 0
(28 + -4z + (21z + -3z2)) = 0

Combine like terms: -4z + 21z = 17z
(28 + 17z + -3z2) = 0

Solving
28 + 17z + -3z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(7 + -1z)(4 + 3z) = 0


Subproblem 1
Set the factor '(7 + -1z)' equal to zero and attempt to solve:

Simplifying
7 + -1z = 0

Solving
7 + -1z = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1z = 0 + -7
-1z = 0 + -7

Combine like terms: 0 + -7 = -7
-1z = -7

Divide each side by '-1'.
z = 7

Simplifying
z = 7

Subproblem 2
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
Solution
z = {7, -1.333333333}

See similar equations:

| (y+7)(y-1)=0 | | 8x^2-2x+3=0 | | -15+15w=6w-4 | | 5t-3-t+2= | | 25x^2-200x=0 | | 6n+6=3n+9 | | 4x^2-8x+11=0 | | x^2+7x=10 | | 40=10(x+7) | | (3z+2)(1-z)=0 | | 2x+3-3x+9= | | (3z+2)(1-x)=0 | | 7t^2+2t=0 | | -16t^2+109t+90=0 | | 9x+2-2= | | (y+7)(y+6)=0 | | r^4-49= | | 3x^3+6x^2-24=0 | | 2-s+s-5=11 | | (1+v)(3v-4)=0 | | x-7.9=-4.1 | | 2(n+5)=2(3n-5) | | 2x-12+4=x-4x-8 | | (3x+9)(7x-11)=0 | | 6x-15y=6 | | 19b+b= | | 4(n+2)=2(n+10) | | x^2+14x+49=100 | | 3-(5x+8)=2+4(x+1) | | 4z+13z=34 | | b^4-8b^2+16=0 | | 2x+18x=180 |

Equations solver categories