(7p+9)(p+7)=47

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Solution for (7p+9)(p+7)=47 equation: 


Simplifying
(7p + 9)(p + 7) = 47

Reorder the terms:
(9 + 7p)(p + 7) = 47

Reorder the terms:
(9 + 7p)(7 + p) = 47

Multiply (9 + 7p) * (7 + p)
(9(7 + p) + 7p * (7 + p)) = 47
((7 * 9 + p * 9) + 7p * (7 + p)) = 47
((63 + 9p) + 7p * (7 + p)) = 47
(63 + 9p + (7 * 7p + p * 7p)) = 47
(63 + 9p + (49p + 7p2)) = 47

Combine like terms: 9p + 49p = 58p
(63 + 58p + 7p2) = 47

Solving
63 + 58p + 7p2 = 47

Solving for variable 'p'.

Reorder the terms:
63 + -47 + 58p + 7p2 = 47 + -47

Combine like terms: 63 + -47 = 16
16 + 58p + 7p2 = 47 + -47

Combine like terms: 47 + -47 = 0
16 + 58p + 7p2 = 0

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


Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve:

Simplifying
8 + p = 0

Solving
8 + p = 0

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

Add '-8' to each side of the equation.
8 + -8 + p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + p = 0 + -8
p = 0 + -8

Combine like terms: 0 + -8 = -8
p = -8

Simplifying
p = -8

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

Simplifying
2 + 7p = 0

Solving
2 + 7p = 0

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

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

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

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

Divide each side by '7'.
p = -0.2857142857

Simplifying
p = -0.2857142857
Solution
p = {-8, -0.2857142857}

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