p(-2p-7)=0

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Solution for p(-2p-7)=0 equation: 


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

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

Solving
-7p + -2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-1p'.
-1p(7 + 2p) = 0

Ignore the factor -1.

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 '(7 + 2p)' equal to zero and attempt to solve:

Simplifying
7 + 2p = 0

Solving
7 + 2p = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2p = 0 + -7
2p = 0 + -7

Combine like terms: 0 + -7 = -7
2p = -7

Divide each side by '2'.
p = -3.5

Simplifying
p = -3.5
Solution
p = {0, -3.5}

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