3p^2-31p+56=0

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Solution for 3p^2-31p+56=0 equation: 


Simplifying
3p2 + -31p + 56 = 0

Reorder the terms:
56 + -31p + 3p2 = 0

Solving
56 + -31p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(7 + -3p)(8 + -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 '(8 + -1p)' equal to zero and attempt to solve:

Simplifying
8 + -1p = 0

Solving
8 + -1p = 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 + -1p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 0 + -8
-1p = 0 + -8

Combine like terms: 0 + -8 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8
Solution
p = {2.333333333, 8}

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