(5w+9z)(5w+9z)=0

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Solution for (5w+9z)(5w+9z)=0 equation: 


Simplifying
(5w + 9z)(5w + 9z) = 0

Multiply (5w + 9z) * (5w + 9z)
(5w * (5w + 9z) + 9z * (5w + 9z)) = 0
((5w * 5w + 9z * 5w) + 9z * (5w + 9z)) = 0

Reorder the terms:
((45wz + 25w2) + 9z * (5w + 9z)) = 0
((45wz + 25w2) + 9z * (5w + 9z)) = 0
(45wz + 25w2 + (5w * 9z + 9z * 9z)) = 0
(45wz + 25w2 + (45wz + 81z2)) = 0

Reorder the terms:
(45wz + 45wz + 25w2 + 81z2) = 0

Combine like terms: 45wz + 45wz = 90wz
(90wz + 25w2 + 81z2) = 0

Solving
90wz + 25w2 + 81z2 = 0

Solving for variable 'w'.

Factor a trinomial.
(5w + 9z)(5w + 9z) = 0


Subproblem 1
Set the factor '(5w + 9z)' equal to zero and attempt to solve:

Simplifying
5w + 9z = 0

Solving
5w + 9z = 0

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

Add '-9z' to each side of the equation.
5w + 9z + -9z = 0 + -9z

Combine like terms: 9z + -9z = 0
5w + 0 = 0 + -9z
5w = 0 + -9z
Remove the zero:
5w = -9z

Divide each side by '5'.
w = -1.8z

Simplifying
w = -1.8z

Subproblem 2
Set the factor '(5w + 9z)' equal to zero and attempt to solve:

Simplifying
5w + 9z = 0

Solving
5w + 9z = 0

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

Add '-9z' to each side of the equation.
5w + 9z + -9z = 0 + -9z

Combine like terms: 9z + -9z = 0
5w + 0 = 0 + -9z
5w = 0 + -9z
Remove the zero:
5w = -9z

Divide each side by '5'.
w = -1.8z

Simplifying
w = -1.8z
Solution
w = {-1.8z, -1.8z}

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