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

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


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

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

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

Combine like terms: p + 2p = 3p
(4 + p)(-7 + 3p) = 0

Multiply (4 + p) * (-7 + 3p)
(4(-7 + 3p) + p(-7 + 3p)) = 0
((-7 * 4 + 3p * 4) + p(-7 + 3p)) = 0
((-28 + 12p) + p(-7 + 3p)) = 0
(-28 + 12p + (-7 * p + 3p * p)) = 0
(-28 + 12p + (-7p + 3p2)) = 0

Combine like terms: 12p + -7p = 5p
(-28 + 5p + 3p2) = 0

Solving
-28 + 5p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -1p)(7 + -3p) = 0


Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve:

Simplifying
-4 + -1p = 0

Solving
-4 + -1p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = 0 + 4
-1p = 0 + 4

Combine like terms: 0 + 4 = 4
-1p = 4

Divide each side by '-1'.
p = -4

Simplifying
p = -4

Subproblem 2
Set the factor '(7 + -3p)' equal to zero and attempt to solve:

Simplifying
7 + -3p = 0

Solving
7 + -3p = 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 + -3p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3p = 0 + -7
-3p = 0 + -7

Combine like terms: 0 + -7 = -7
-3p = -7

Divide each side by '-3'.
p = 2.333333333

Simplifying
p = 2.333333333
Solution
p = {-4, 2.333333333}

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