=(5z-2)(5z-2)

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Solution for =(5z-2)(5z-2) equation: 


Simplifying
0 = (5z + -2)(5z + -2)

Reorder the terms:
0 = (-2 + 5z)(5z + -2)

Reorder the terms:
0 = (-2 + 5z)(-2 + 5z)

Multiply (-2 + 5z) * (-2 + 5z)
0 = (-2(-2 + 5z) + 5z * (-2 + 5z))
0 = ((-2 * -2 + 5z * -2) + 5z * (-2 + 5z))
0 = ((4 + -10z) + 5z * (-2 + 5z))
0 = (4 + -10z + (-2 * 5z + 5z * 5z))
0 = (4 + -10z + (-10z + 25z2))

Combine like terms: -10z + -10z = -20z
0 = (4 + -20z + 25z2)

Solving
0 = 4 + -20z + 25z2

Solving for variable 'z'.

Combine like terms: 0 + -4 = -4
-4 + 20z + -25z2 = 4 + -20z + 25z2 + -4 + 20z + -25z2

Reorder the terms:
-4 + 20z + -25z2 = 4 + -4 + -20z + 20z + 25z2 + -25z2

Combine like terms: 4 + -4 = 0
-4 + 20z + -25z2 = 0 + -20z + 20z + 25z2 + -25z2
-4 + 20z + -25z2 = -20z + 20z + 25z2 + -25z2

Combine like terms: -20z + 20z = 0
-4 + 20z + -25z2 = 0 + 25z2 + -25z2
-4 + 20z + -25z2 = 25z2 + -25z2

Combine like terms: 25z2 + -25z2 = 0
-4 + 20z + -25z2 = 0

Factor a trinomial.
(-2 + 5z)(2 + -5z) = 0


Subproblem 1
Set the factor '(-2 + 5z)' equal to zero and attempt to solve:

Simplifying
-2 + 5z = 0

Solving
-2 + 5z = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5z = 0 + 2
5z = 0 + 2

Combine like terms: 0 + 2 = 2
5z = 2

Divide each side by '5'.
z = 0.4

Simplifying
z = 0.4

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

Simplifying
2 + -5z = 0

Solving
2 + -5z = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5z = 0 + -2
-5z = 0 + -2

Combine like terms: 0 + -2 = -2
-5z = -2

Divide each side by '-5'.
z = 0.4

Simplifying
z = 0.4
Solution
z = {0.4, 0.4}

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