10p(3s+10p)=

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Solution for 10p(3s+10p)= equation: 


Simplifying
10p(3s + 10p) = 0

Reorder the terms:
10p(10p + 3s) = 0
(10p * 10p + 3s * 10p) = 0

Reorder the terms:
(30ps + 100p2) = 0
(30ps + 100p2) = 0

Solving
30ps + 100p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '10p'.
10p(3s + 10p) = 0

Ignore the factor 10.

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

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(3s + 10p)' equal to zero and attempt to solve:

Simplifying
3s + 10p = 0

Reorder the terms:
10p + 3s = 0

Solving
10p + 3s = 0

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

Add '-3s' to each side of the equation.
10p + 3s + -3s = 0 + -3s

Combine like terms: 3s + -3s = 0
10p + 0 = 0 + -3s
10p = 0 + -3s
Remove the zero:
10p = -3s

Divide each side by '10'.
p = -0.3s

Simplifying
p = -0.3s
Solution
p = {0, -0.3s}

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