5s(12s+7)=0

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Solution for 5s(12s+7)=0 equation: 


Simplifying
5s(12s + 7) = 0

Reorder the terms:
5s(7 + 12s) = 0
(7 * 5s + 12s * 5s) = 0
(35s + 60s2) = 0

Solving
35s + 60s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5s'.
5s(7 + 12s) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0

Subproblem 2
Set the factor '(7 + 12s)' equal to zero and attempt to solve:

Simplifying
7 + 12s = 0

Solving
7 + 12s = 0

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

Add '-7' to each side of the equation.
7 + -7 + 12s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 12s = 0 + -7
12s = 0 + -7

Combine like terms: 0 + -7 = -7
12s = -7

Divide each side by '12'.
s = -0.5833333333

Simplifying
s = -0.5833333333
Solution
s = {0, -0.5833333333}

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