(2z)(4z-7)=0

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Solution for (2z)(4z-7)=0 equation: 


Simplifying
(2z)(4z + -7) = 0

Remove parenthesis around (2z)
2z(4z + -7) = 0

Reorder the terms:
2z(-7 + 4z) = 0
(-7 * 2z + 4z * 2z) = 0
(-14z + 8z2) = 0

Solving
-14z + 8z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(-7 + 4z) = 0

Ignore the factor 2.

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 '(-7 + 4z)' equal to zero and attempt to solve:

Simplifying
-7 + 4z = 0

Solving
-7 + 4z = 0

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

Add '7' to each side of the equation.
-7 + 7 + 4z = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4z = 0 + 7
4z = 0 + 7

Combine like terms: 0 + 7 = 7
4z = 7

Divide each side by '4'.
z = 1.75

Simplifying
z = 1.75
Solution
z = {0, 1.75}

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