4p^2+5p-1=-2

Solution for 4p^2+5p-1=-2 equation:

Simplifying
4p2 + 5p + -1 = -2

Reorder the terms:
-1 + 5p + 4p2 = -2

Solving
-1 + 5p + 4p2 = -2

Solving for variable 'p'.

Reorder the terms:
-1 + 2 + 5p + 4p2 = -2 + 2

Combine like terms: -1 + 2 = 1
1 + 5p + 4p2 = -2 + 2

Combine like terms: -2 + 2 = 0
1 + 5p + 4p2 = 0

Factor a trinomial.
(1 + p)(1 + 4p) = 0

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

Simplifying
1 + p = 0

Solving
1 + p = 0

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

Add '-1' to each side of the equation.
1 + -1 + p = 0 + -1

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

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

Simplifying
p = -1
Subproblem 2
Set the factor '(1 + 4p)' equal to zero and attempt to solve:

Simplifying
1 + 4p = 0

Solving
1 + 4p = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4p = 0 + -1
4p = 0 + -1

Combine like terms: 0 + -1 = -1
4p = -1

Divide each side by '4'.
p = -0.25

Simplifying
p = -0.25
Solution
p = {-1, -0.25}