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

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


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

Reorder the terms:
(-7 + 3p)(p + 2) = 0

Reorder the terms:
(-7 + 3p)(2 + p) = 0

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


Subproblem 1
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

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 = {-2, 2.333333333}

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