(4z-2)(5z)=0

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Solution for (4z-2)(5z)=0 equation:


Simplifying
(4z + -2)(5z) = 0

Reorder the terms:
(-2 + 4z)(5z) = 0

Remove parenthesis around (5z)
(-2 + 4z) * 5z = 0

Reorder the terms for easier multiplication:
5z(-2 + 4z) = 0
(-2 * 5z + 4z * 5z) = 0
(-10z + 20z2) = 0

Solving
-10z + 20z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '10z'.
10z(-1 + 2z) = 0

Ignore the factor 10.

Subproblem 1

Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0

Subproblem 2

Set the factor '(-1 + 2z)' equal to zero and attempt to solve: Simplifying -1 + 2z = 0 Solving -1 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2z = 0 + 1 2z = 0 + 1 Combine like terms: 0 + 1 = 1 2z = 1 Divide each side by '2'. z = 0.5 Simplifying z = 0.5

Solution

z = {0, 0.5}

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