-36p^2-156p-160=0

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Solution for -36p^2-156p-160=0 equation: 


Simplifying
-36p2 + -156p + -160 = 0

Reorder the terms:
-160 + -156p + -36p2 = 0

Solving
-160 + -156p + -36p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(40 + 39p + 9p2) = 0

Factor a trinomial.
-4((8 + 3p)(5 + 3p)) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(8 + 3p)' equal to zero and attempt to solve:

Simplifying
8 + 3p = 0

Solving
8 + 3p = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3p = 0 + -8
3p = 0 + -8

Combine like terms: 0 + -8 = -8
3p = -8

Divide each side by '3'.
p = -2.666666667

Simplifying
p = -2.666666667

Subproblem 2
Set the factor '(5 + 3p)' equal to zero and attempt to solve:

Simplifying
5 + 3p = 0

Solving
5 + 3p = 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 + 3p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3p = 0 + -5
3p = 0 + -5

Combine like terms: 0 + -5 = -5
3p = -5

Divide each side by '3'.
p = -1.666666667

Simplifying
p = -1.666666667
Solution
p = {-2.666666667, -1.666666667}

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