3p^2+14p-141=4

Solution for 3p^2+14p-141=4 equation:

Simplifying
3p2 + 14p + -141 = 4

Reorder the terms:
-141 + 14p + 3p2 = 4

Solving
-141 + 14p + 3p2 = 4

Solving for variable 'p'.

Reorder the terms:
-141 + -4 + 14p + 3p2 = 4 + -4

Combine like terms: -141 + -4 = -145
-145 + 14p + 3p2 = 4 + -4

Combine like terms: 4 + -4 = 0
-145 + 14p + 3p2 = 0

Factor a trinomial.
(-29 + -3p)(5 + -1p) = 0

Subproblem 1
Set the factor '(-29 + -3p)' equal to zero and attempt to solve:

Simplifying
-29 + -3p = 0

Solving
-29 + -3p = 0

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

Add '29' to each side of the equation.
-29 + 29 + -3p = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -3p = 0 + 29
-3p = 0 + 29

Combine like terms: 0 + 29 = 29
-3p = 29

Divide each side by '-3'.
p = -9.666666667

Simplifying
p = -9.666666667
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 = {-9.666666667, 5}