3p^2-7p-40=0

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Solution for 3p^2-7p-40=0 equation: 


Simplifying
3p2 + -7p + -40 = 0

Reorder the terms:
-40 + -7p + 3p2 = 0

Solving
-40 + -7p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-8 + -3p)(5 + -1p) = 0


Subproblem 1
Set the factor '(-8 + -3p)' equal to zero and attempt to solve:

Simplifying
-8 + -3p = 0

Solving
-8 + -3p = 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 + -3p = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3p = 0 + 8
-3p = 0 + 8

Combine like terms: 0 + 8 = 8
-3p = 8

Divide each side by '-3'.
p = -2.666666667

Simplifying
p = -2.666666667

Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve:

Simplifying
5 + -1p = 0

Solving
5 + -1p = 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 + -1p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1p = 0 + -5
-1p = 0 + -5

Combine like terms: 0 + -5 = -5
-1p = -5

Divide each side by '-1'.
p = 5

Simplifying
p = 5
Solution
p = {-2.666666667, 5}

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