3z(4z-5)=0

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Solution for 3z(4z-5)=0 equation:


Simplifying
3z(4z + -5) = 0

Reorder the terms:
3z(-5 + 4z) = 0
(-5 * 3z + 4z * 3z) = 0
(-15z + 12z2) = 0

Solving
-15z + 12z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3z'.
3z(-5 + 4z) = 0

Ignore the factor 3.

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 '(-5 + 4z)' equal to zero and attempt to solve: Simplifying -5 + 4z = 0 Solving -5 + 4z = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4z = 0 + 5 4z = 0 + 5 Combine like terms: 0 + 5 = 5 4z = 5 Divide each side by '4'. z = 1.25 Simplifying z = 1.25

Solution

z = {0, 1.25}

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