(3y+4z)(3y+4z)=

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Solution for (3y+4z)(3y+4z)= equation: 


Simplifying
(3y + 4z)(3y + 4z) = 0

Multiply (3y + 4z) * (3y + 4z)
(3y * (3y + 4z) + 4z * (3y + 4z)) = 0
((3y * 3y + 4z * 3y) + 4z * (3y + 4z)) = 0

Reorder the terms:
((12yz + 9y2) + 4z * (3y + 4z)) = 0
((12yz + 9y2) + 4z * (3y + 4z)) = 0
(12yz + 9y2 + (3y * 4z + 4z * 4z)) = 0
(12yz + 9y2 + (12yz + 16z2)) = 0

Reorder the terms:
(12yz + 12yz + 9y2 + 16z2) = 0

Combine like terms: 12yz + 12yz = 24yz
(24yz + 9y2 + 16z2) = 0

Solving
24yz + 9y2 + 16z2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3y + 4z)(3y + 4z) = 0


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

Simplifying
3y + 4z = 0

Solving
3y + 4z = 0

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

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

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

Divide each side by '3'.
y = -1.333333333z

Simplifying
y = -1.333333333z

Subproblem 2
Set the factor '(3y + 4z)' equal to zero and attempt to solve:

Simplifying
3y + 4z = 0

Solving
3y + 4z = 0

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

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

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

Divide each side by '3'.
y = -1.333333333z

Simplifying
y = -1.333333333z
Solution
y = {-1.333333333z, -1.333333333z}

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