5p^2+9p+2=4

Solution for 5p^2+9p+2=4 equation:

Simplifying
5p2 + 9p + 2 = 4

Reorder the terms:
2 + 9p + 5p2 = 4

Solving
2 + 9p + 5p2 = 4

Solving for variable 'p'.

Reorder the terms:
2 + -4 + 9p + 5p2 = 4 + -4

Combine like terms: 2 + -4 = -2
-2 + 9p + 5p2 = 4 + -4

Combine like terms: 4 + -4 = 0
-2 + 9p + 5p2 = 0

Factor a trinomial.
(-2 + -1p)(1 + -5p) = 0

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

Simplifying
-2 + -1p = 0

Solving
-2 + -1p = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1p = 0 + 2
-1p = 0 + 2

Combine like terms: 0 + 2 = 2
-1p = 2

Divide each side by '-1'.
p = -2

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

Simplifying
1 + -5p = 0

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

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

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

Divide each side by '-5'.
p = 0.2

Simplifying
p = 0.2
Solution
p = {-2, 0.2}