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

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Solution for (y-3z)(7y+3z)= equation: 


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

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

Reorder the terms:
((3yz + 7y2) + -3z * (7y + 3z)) = 0
((3yz + 7y2) + -3z * (7y + 3z)) = 0
(3yz + 7y2 + (7y * -3z + 3z * -3z)) = 0
(3yz + 7y2 + (-21yz + -9z2)) = 0

Reorder the terms:
(3yz + -21yz + 7y2 + -9z2) = 0

Combine like terms: 3yz + -21yz = -18yz
(-18yz + 7y2 + -9z2) = 0

Solving
-18yz + 7y2 + -9z2 = 0

Solving for variable 'y'.

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


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

Simplifying
y + -3z = 0

Solving
y + -3z = 0

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

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

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

Simplifying
y = 3z

Subproblem 2
Set the factor '(7y + 3z)' equal to zero and attempt to solve:

Simplifying
7y + 3z = 0

Solving
7y + 3z = 0

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

Add '-3z' to each side of the equation.
7y + 3z + -3z = 0 + -3z

Combine like terms: 3z + -3z = 0
7y + 0 = 0 + -3z
7y = 0 + -3z
Remove the zero:
7y = -3z

Divide each side by '7'.
y = -0.4285714286z

Simplifying
y = -0.4285714286z
Solution
y = {3z, -0.4285714286z}

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