5z(8z-7)=0

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Solution for 5z(8z-7)=0 equation: 


Simplifying
5z(8z + -7) = 0

Reorder the terms:
5z(-7 + 8z) = 0
(-7 * 5z + 8z * 5z) = 0
(-35z + 40z2) = 0

Solving
-35z + 40z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '5z'.
5z(-7 + 8z) = 0

Ignore the factor 5.

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 + 8z)' equal to zero and attempt to solve:

Simplifying
-7 + 8z = 0

Solving
-7 + 8z = 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 + 8z = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 8z = 0 + 7
8z = 0 + 7

Combine like terms: 0 + 7 = 7
8z = 7

Divide each side by '8'.
z = 0.875

Simplifying
z = 0.875
Solution
z = {0, 0.875}

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