(3p-5)(p+2)=

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Solution for (3p-5)(p+2)= equation: 


Simplifying
(3p + -5)(p + 2) = 0

Reorder the terms:
(-5 + 3p)(p + 2) = 0

Reorder the terms:
(-5 + 3p)(2 + p) = 0

Multiply (-5 + 3p) * (2 + p)
(-5(2 + p) + 3p * (2 + p)) = 0
((2 * -5 + p * -5) + 3p * (2 + p)) = 0
((-10 + -5p) + 3p * (2 + p)) = 0
(-10 + -5p + (2 * 3p + p * 3p)) = 0
(-10 + -5p + (6p + 3p2)) = 0

Combine like terms: -5p + 6p = 1p
(-10 + 1p + 3p2) = 0

Solving
-10 + 1p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-2 + -1p)(5 + -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 '(5 + -3p)' equal to zero and attempt to solve:

Simplifying
5 + -3p = 0

Solving
5 + -3p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3p = 0 + -5
-3p = 0 + -5

Combine like terms: 0 + -5 = -5
-3p = -5

Divide each side by '-3'.
p = 1.666666667

Simplifying
p = 1.666666667
Solution
p = {-2, 1.666666667}

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