(3p-4p)(7p+7)=

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Solution for (3p-4p)(7p+7)= equation: 


Simplifying
(3p + -4p)(7p + 7) = 0

Combine like terms: 3p + -4p = -1p
(-1p)(7p + 7) = 0

Remove parenthesis around (-1p)
-1p(7p + 7) = 0

Reorder the terms:
-1p(7 + 7p) = 0
(7 * -1p + 7p * -1p) = 0
(-7p + -7p2) = 0

Solving
-7p + -7p2 = 0

Solving for variable 'p'.

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

Ignore the factor -7.

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

Simplifying
1 + p = 0

Solving
1 + p = 0

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

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

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

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

Simplifying
p = -1
Solution
p = {0, -1}

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