(3x-4z)(7x-z)=

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


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

Multiply (3x + -4z) * (7x + -1z)
(3x * (7x + -1z) + -4z * (7x + -1z)) = 0
((7x * 3x + -1z * 3x) + -4z * (7x + -1z)) = 0

Reorder the terms:
((-3xz + 21x2) + -4z * (7x + -1z)) = 0
((-3xz + 21x2) + -4z * (7x + -1z)) = 0
(-3xz + 21x2 + (7x * -4z + -1z * -4z)) = 0
(-3xz + 21x2 + (-28xz + 4z2)) = 0

Reorder the terms:
(-3xz + -28xz + 21x2 + 4z2) = 0

Combine like terms: -3xz + -28xz = -31xz
(-31xz + 21x2 + 4z2) = 0

Solving
-31xz + 21x2 + 4z2 = 0

Solving for variable 'x'.

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


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

Simplifying
3x + -4z = 0

Solving
3x + -4z = 0

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

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

Combine like terms: -4z + 4z = 0
3x + 0 = 0 + 4z
3x = 0 + 4z
Remove the zero:
3x = 4z

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

Simplifying
x = 1.333333333z

Subproblem 2
Set the factor '(7x + -1z)' equal to zero and attempt to solve:

Simplifying
7x + -1z = 0

Solving
7x + -1z = 0

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

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

Combine like terms: -1z + z = 0
7x + 0 = 0 + z
7x = 0 + z
Remove the zero:
7x = z

Divide each side by '7'.
x = 0.1428571429z

Simplifying
x = 0.1428571429z
Solution
x = {1.333333333z, 0.1428571429z}

See similar equations:

| 4/5*=20 | | (27x^2-33x)/(9x-8) | | 27x^2-33x/9x-8 | | 10=-r/8 | | 5t/9=20 | | 5x^3-9x^2+8x-20=0 | | 5x+6(x+1)=x-2(x-3) | | 986.11/10000 | | 3x-2(2x+3)+2x=-8 | | 3(2-x)-4=6(1-x)+4 | | 7.39x+66.51=133.02 | | 1979999+1= | | 5q-6n=11tc | | 3x^2=8x-2 | | 5(2x-1)+8=3-4x | | 2-3(x-1)+6x=8 | | 8x^2+12x+17=0 | | 2-3(x-2)+6x=8 | | (6n-5p)/(11t)=c | | 2x^3-4x^2+6x-3+x^3+6x^2-8x+12+-3x^3+2x^2-4x-7= | | 7-5(2-3x)=4(3x+1) | | 15-3y=-12 | | 3m-4n-7-8m+n-6= | | 3.1x+2.8z-4.3x-1.2z= | | 4.02+2y=9 | | 6/5+4 | | -9b=54 | | 3x6+3/8 | | 2t-4=10-t | | 3x63/8 | | y=18-7 | | 7x+24=-11 |

Equations solver categories