4e^2+15e+9=

Solution for 4e^2+15e+9= equation:

Simplifying
4e2 + 15e + 9 = 0

Reorder the terms:
9 + 15e + 4e2 = 0

Solving
9 + 15e + 4e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(3 + e)(3 + 4e) = 0

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

Simplifying
3 + e = 0

Solving
3 + e = 0

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

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

Combine like terms: 3 + -3 = 0
0 + e = 0 + -3
e = 0 + -3

Combine like terms: 0 + -3 = -3
e = -3

Simplifying
e = -3
Subproblem 2
Set the factor '(3 + 4e)' equal to zero and attempt to solve:

Simplifying
3 + 4e = 0

Solving
3 + 4e = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4e = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4e = 0 + -3
4e = 0 + -3

Combine like terms: 0 + -3 = -3
4e = -3

Divide each side by '4'.
e = -0.75

Simplifying
e = -0.75
Solution
e = {-3, -0.75}