(4p+4)(2p+7)=0

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Solution for (4p+4)(2p+7)=0 equation: 


Simplifying
(4p + 4)(2p + 7) = 0

Reorder the terms:
(4 + 4p)(2p + 7) = 0

Reorder the terms:
(4 + 4p)(7 + 2p) = 0

Multiply (4 + 4p) * (7 + 2p)
(4(7 + 2p) + 4p * (7 + 2p)) = 0
((7 * 4 + 2p * 4) + 4p * (7 + 2p)) = 0
((28 + 8p) + 4p * (7 + 2p)) = 0
(28 + 8p + (7 * 4p + 2p * 4p)) = 0
(28 + 8p + (28p + 8p2)) = 0

Combine like terms: 8p + 28p = 36p
(28 + 36p + 8p2) = 0

Solving
28 + 36p + 8p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 9p + 2p2) = 0

Factor a trinomial.
4((7 + 2p)(1 + p)) = 0

Ignore the factor 4.

Subproblem 1
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

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 = {-3.5, -1}

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