(7-p)(9-2+6p)=

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Solution for (7-p)(9-2+6p)= equation: 


Simplifying
(7 + -1p)(9 + -2 + 6p) = 0

Combine like terms: 9 + -2 = 7
(7 + -1p)(7 + 6p) = 0

Multiply (7 + -1p) * (7 + 6p)
(7(7 + 6p) + -1p * (7 + 6p)) = 0
((7 * 7 + 6p * 7) + -1p * (7 + 6p)) = 0
((49 + 42p) + -1p * (7 + 6p)) = 0
(49 + 42p + (7 * -1p + 6p * -1p)) = 0
(49 + 42p + (-7p + -6p2)) = 0

Combine like terms: 42p + -7p = 35p
(49 + 35p + -6p2) = 0

Solving
49 + 35p + -6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(7 + -1p)(7 + 6p) = 0


Subproblem 1
Set the factor '(7 + -1p)' equal to zero and attempt to solve:

Simplifying
7 + -1p = 0

Solving
7 + -1p = 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 + -1p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1p = 0 + -7
-1p = 0 + -7

Combine like terms: 0 + -7 = -7
-1p = -7

Divide each side by '-1'.
p = 7

Simplifying
p = 7

Subproblem 2
Set the factor '(7 + 6p)' equal to zero and attempt to solve:

Simplifying
7 + 6p = 0

Solving
7 + 6p = 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 + 6p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6p = 0 + -7
6p = 0 + -7

Combine like terms: 0 + -7 = -7
6p = -7

Divide each side by '6'.
p = -1.166666667

Simplifying
p = -1.166666667
Solution
p = {7, -1.166666667}

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