15p^2+16p-19=-4

Solution for 15p^2+16p-19=-4 equation:

Simplifying
15p2 + 16p + -19 = -4

Reorder the terms:
-19 + 16p + 15p2 = -4

Solving
-19 + 16p + 15p2 = -4

Solving for variable 'p'.

Reorder the terms:
-19 + 4 + 16p + 15p2 = -4 + 4

Combine like terms: -19 + 4 = -15
-15 + 16p + 15p2 = -4 + 4

Combine like terms: -4 + 4 = 0
-15 + 16p + 15p2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -5p)' equal to zero and attempt to solve:

Simplifying
3 + -5p = 0

Solving
3 + -5p = 0

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

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

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

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

Divide each side by '-5'.
p = 0.6

Simplifying
p = 0.6
Solution
p = {-1.666666667, 0.6}