4p^2=-13p-10

Solution for 4p^2=-13p-10 equation:

Simplifying
4p2 = -13p + -10

Reorder the terms:
4p2 = -10 + -13p

Solving
4p2 = -10 + -13p

Solving for variable 'p'.

Reorder the terms:
10 + 13p + 4p2 = -10 + -13p + 10 + 13p

Reorder the terms:
10 + 13p + 4p2 = -10 + 10 + -13p + 13p

Combine like terms: -10 + 10 = 0
10 + 13p + 4p2 = 0 + -13p + 13p
10 + 13p + 4p2 = -13p + 13p

Combine like terms: -13p + 13p = 0
10 + 13p + 4p2 = 0

Factor a trinomial.
(2 + p)(5 + 4p) = 0

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

Simplifying
2 + p = 0

Solving
2 + p = 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 + p = 0 + -2

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

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

Simplifying
p = -2
Subproblem 2
Set the factor '(5 + 4p)' equal to zero and attempt to solve:

Simplifying
5 + 4p = 0

Solving
5 + 4p = 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 + 4p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4p = 0 + -5
4p = 0 + -5

Combine like terms: 0 + -5 = -5
4p = -5

Divide each side by '4'.
p = -1.25

Simplifying
p = -1.25
Solution
p = {-2, -1.25}