(z-2x)(z-2x)=

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Solution for (z-2x)(z-2x)= equation: 


Simplifying
(z + -2x)(z + -2x) = 0

Reorder the terms:
(-2x + z)(z + -2x) = 0

Reorder the terms:
(-2x + z)(-2x + z) = 0

Multiply (-2x + z) * (-2x + z)
(-2x * (-2x + z) + z(-2x + z)) = 0
((-2x * -2x + z * -2x) + z(-2x + z)) = 0

Reorder the terms:
((-2xz + 4x2) + z(-2x + z)) = 0
((-2xz + 4x2) + z(-2x + z)) = 0
(-2xz + 4x2 + (-2x * z + z * z)) = 0
(-2xz + 4x2 + (-2xz + z2)) = 0

Reorder the terms:
(-2xz + -2xz + 4x2 + z2) = 0

Combine like terms: -2xz + -2xz = -4xz
(-4xz + 4x2 + z2) = 0

Solving
-4xz + 4x2 + z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -1z)(2x + -1z) = 0


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

Simplifying
2x + -1z = 0

Solving
2x + -1z = 0

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

Add 'z' to each side of the equation.
2x + -1z + z = 0 + z

Combine like terms: -1z + z = 0
2x + 0 = 0 + z
2x = 0 + z
Remove the zero:
2x = z

Divide each side by '2'.
x = 0.5z

Simplifying
x = 0.5z

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

Simplifying
2x + -1z = 0

Solving
2x + -1z = 0

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

Add 'z' to each side of the equation.
2x + -1z + z = 0 + z

Combine like terms: -1z + z = 0
2x + 0 = 0 + z
2x = 0 + z
Remove the zero:
2x = z

Divide each side by '2'.
x = 0.5z

Simplifying
x = 0.5z
Solution
x = {0.5z, 0.5z}

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