(-7-3p)(2-p)=0

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Solution for (-7-3p)(2-p)=0 equation: 


Simplifying
(-7 + -3p)(2 + -1p) = 0

Multiply (-7 + -3p) * (2 + -1p)
(-7(2 + -1p) + -3p * (2 + -1p)) = 0
((2 * -7 + -1p * -7) + -3p * (2 + -1p)) = 0
((-14 + 7p) + -3p * (2 + -1p)) = 0
(-14 + 7p + (2 * -3p + -1p * -3p)) = 0
(-14 + 7p + (-6p + 3p2)) = 0

Combine like terms: 7p + -6p = 1p
(-14 + 1p + 3p2) = 0

Solving
-14 + 1p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + -3p)(2 + -1p) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 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 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {-2.333333333, 2}

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