(2y-3z)(7y-z)=

Simple and best practice solution for (2y-3z)(7y-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 (2y-3z)(7y-z)= equation: 


Simplifying
(2y + -3z)(7y + -1z) = 0

Multiply (2y + -3z) * (7y + -1z)
(2y * (7y + -1z) + -3z * (7y + -1z)) = 0
((7y * 2y + -1z * 2y) + -3z * (7y + -1z)) = 0

Reorder the terms:
((-2yz + 14y2) + -3z * (7y + -1z)) = 0
((-2yz + 14y2) + -3z * (7y + -1z)) = 0
(-2yz + 14y2 + (7y * -3z + -1z * -3z)) = 0
(-2yz + 14y2 + (-21yz + 3z2)) = 0

Reorder the terms:
(-2yz + -21yz + 14y2 + 3z2) = 0

Combine like terms: -2yz + -21yz = -23yz
(-23yz + 14y2 + 3z2) = 0

Solving
-23yz + 14y2 + 3z2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2y + -3z)(7y + -1z) = 0


Subproblem 1
Set the factor '(2y + -3z)' equal to zero and attempt to solve:

Simplifying
2y + -3z = 0

Solving
2y + -3z = 0

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

Add '3z' to each side of the equation.
2y + -3z + 3z = 0 + 3z

Combine like terms: -3z + 3z = 0
2y + 0 = 0 + 3z
2y = 0 + 3z
Remove the zero:
2y = 3z

Divide each side by '2'.
y = 1.5z

Simplifying
y = 1.5z

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

Simplifying
7y + -1z = 0

Solving
7y + -1z = 0

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

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

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

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

Simplifying
y = 0.1428571429z
Solution
y = {1.5z, 0.1428571429z}

See similar equations:

| ln8.3/ln2 | | 15y=20x-30 | | 2x-11=4x+3 | | 5c+10=-10+3c | | 2x+14=5+5x | | 8+7p=6p | | -8b=-8b+3 | | X^2+y=10x | | -6+10m=8m+10 | | 16x*x*x-10x*x= | | (3/2)/3= | | 3/3/3 | | (X^3)+3x-5=0 | | 2x*x+2x*2x+4x*x= | | 3x-1=5x+19 | | 2X+7=7x+32 | | 10/8=n/15 | | -5(5y-5)+4(3y+10)= | | n=n+8 | | 6d=-6+6d | | log8(x-5)=2/3 | | 10-24= | | 2y-7=10y-23 | | 1400+x=3x+200 | | M-2n-7=0 | | 15s+s=16s | | y^2+24y+92=0 | | -5x+4=2x-1 | | 3x+15=-x+3 | | x-4=-3x-10 | | -6+2h=3+h | | -6z=-6z+5 |

Equations solver categories