2p(p+5)+3p(p-7)=

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Solution for 2p(p+5)+3p(p-7)= equation: 


Simplifying
2p(p + 5) + 3p(p + -7) = 0

Reorder the terms:
2p(5 + p) + 3p(p + -7) = 0
(5 * 2p + p * 2p) + 3p(p + -7) = 0
(10p + 2p2) + 3p(p + -7) = 0

Reorder the terms:
10p + 2p2 + 3p(-7 + p) = 0
10p + 2p2 + (-7 * 3p + p * 3p) = 0
10p + 2p2 + (-21p + 3p2) = 0

Reorder the terms:
10p + -21p + 2p2 + 3p2 = 0

Combine like terms: 10p + -21p = -11p
-11p + 2p2 + 3p2 = 0

Combine like terms: 2p2 + 3p2 = 5p2
-11p + 5p2 = 0

Solving
-11p + 5p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-11 + 5p) = 0


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 '(-11 + 5p)' equal to zero and attempt to solve:

Simplifying
-11 + 5p = 0

Solving
-11 + 5p = 0

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

Add '11' to each side of the equation.
-11 + 11 + 5p = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 5p = 0 + 11
5p = 0 + 11

Combine like terms: 0 + 11 = 11
5p = 11

Divide each side by '5'.
p = 2.2

Simplifying
p = 2.2
Solution
p = {0, 2.2}

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