(4z+5x)(4z+5x)=

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Solution for (4z+5x)(4z+5x)= equation: 


Simplifying
(4z + 5x)(4z + 5x) = 0

Reorder the terms:
(5x + 4z)(4z + 5x) = 0

Reorder the terms:
(5x + 4z)(5x + 4z) = 0

Multiply (5x + 4z) * (5x + 4z)
(5x * (5x + 4z) + 4z * (5x + 4z)) = 0
((5x * 5x + 4z * 5x) + 4z * (5x + 4z)) = 0

Reorder the terms:
((20xz + 25x2) + 4z * (5x + 4z)) = 0
((20xz + 25x2) + 4z * (5x + 4z)) = 0
(20xz + 25x2 + (5x * 4z + 4z * 4z)) = 0
(20xz + 25x2 + (20xz + 16z2)) = 0

Reorder the terms:
(20xz + 20xz + 25x2 + 16z2) = 0

Combine like terms: 20xz + 20xz = 40xz
(40xz + 25x2 + 16z2) = 0

Solving
40xz + 25x2 + 16z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + 4z)(5x + 4z) = 0


Subproblem 1
Set the factor '(5x + 4z)' equal to zero and attempt to solve:

Simplifying
5x + 4z = 0

Solving
5x + 4z = 0

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

Add '-4z' to each side of the equation.
5x + 4z + -4z = 0 + -4z

Combine like terms: 4z + -4z = 0
5x + 0 = 0 + -4z
5x = 0 + -4z
Remove the zero:
5x = -4z

Divide each side by '5'.
x = -0.8z

Simplifying
x = -0.8z

Subproblem 2
Set the factor '(5x + 4z)' equal to zero and attempt to solve:

Simplifying
5x + 4z = 0

Solving
5x + 4z = 0

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

Add '-4z' to each side of the equation.
5x + 4z + -4z = 0 + -4z

Combine like terms: 4z + -4z = 0
5x + 0 = 0 + -4z
5x = 0 + -4z
Remove the zero:
5x = -4z

Divide each side by '5'.
x = -0.8z

Simplifying
x = -0.8z
Solution
x = {-0.8z, -0.8z}

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