(5p-16)(2p+20)=0

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Solution for (5p-16)(2p+20)=0 equation: 


Simplifying
(5p + -16)(2p + 20) = 0

Reorder the terms:
(-16 + 5p)(2p + 20) = 0

Reorder the terms:
(-16 + 5p)(20 + 2p) = 0

Multiply (-16 + 5p) * (20 + 2p)
(-16(20 + 2p) + 5p * (20 + 2p)) = 0
((20 * -16 + 2p * -16) + 5p * (20 + 2p)) = 0
((-320 + -32p) + 5p * (20 + 2p)) = 0
(-320 + -32p + (20 * 5p + 2p * 5p)) = 0
(-320 + -32p + (100p + 10p2)) = 0

Combine like terms: -32p + 100p = 68p
(-320 + 68p + 10p2) = 0

Solving
-320 + 68p + 10p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-160 + 34p + 5p2) = 0

Factor a trinomial.
2((-10 + -1p)(16 + -5p)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -1p)' equal to zero and attempt to solve:

Simplifying
-10 + -1p = 0

Solving
-10 + -1p = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1p = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1p = 0 + 10
-1p = 0 + 10

Combine like terms: 0 + 10 = 10
-1p = 10

Divide each side by '-1'.
p = -10

Simplifying
p = -10

Subproblem 2
Set the factor '(16 + -5p)' equal to zero and attempt to solve:

Simplifying
16 + -5p = 0

Solving
16 + -5p = 0

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

Add '-16' to each side of the equation.
16 + -16 + -5p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5p = 0 + -16
-5p = 0 + -16

Combine like terms: 0 + -16 = -16
-5p = -16

Divide each side by '-5'.
p = 3.2

Simplifying
p = 3.2
Solution
p = {-10, 3.2}

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