0=10p^2+50p

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Solution for 0=10p^2+50p equation: 


Simplifying
0 = 10p2 + 50p

Reorder the terms:
0 = 50p + 10p2

Solving
0 = 50p + 10p2

Solving for variable 'p'.
Remove the zero:
-50p + -10p2 = 50p + 10p2 + -50p + -10p2

Reorder the terms:
-50p + -10p2 = 50p + -50p + 10p2 + -10p2

Combine like terms: 50p + -50p = 0
-50p + -10p2 = 0 + 10p2 + -10p2
-50p + -10p2 = 10p2 + -10p2

Combine like terms: 10p2 + -10p2 = 0
-50p + -10p2 = 0

Factor out the Greatest Common Factor (GCF), '-10p'.
-10p(5 + p) = 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 '(5 + p)' equal to zero and attempt to solve:

Simplifying
5 + p = 0

Solving
5 + p = 0

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

Add '-5' to each side of the equation.
5 + -5 + p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + p = 0 + -5
p = 0 + -5

Combine like terms: 0 + -5 = -5
p = -5

Simplifying
p = -5
Solution
p = {0, -5}

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