7a^2+40a+25=0

Solution for 7a^2+40a+25=0 equation:

Simplifying
7a2 + 40a + 25 = 0

Reorder the terms:
25 + 40a + 7a2 = 0

Solving
25 + 40a + 7a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5 + a)(5 + 7a) = 0

Subproblem 1
Set the factor '(5 + a)' equal to zero and attempt to solve:

Simplifying
5 + a = 0

Solving
5 + a = 0

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

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

Combine like terms: 5 + -5 = 0
0 + a = 0 + -5
a = 0 + -5

Combine like terms: 0 + -5 = -5
a = -5

Simplifying
a = -5
Subproblem 2
Set the factor '(5 + 7a)' equal to zero and attempt to solve:

Simplifying
5 + 7a = 0

Solving
5 + 7a = 0

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

Add '-5' to each side of the equation.
5 + -5 + 7a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7a = 0 + -5
7a = 0 + -5

Combine like terms: 0 + -5 = -5
7a = -5

Divide each side by '7'.
a = -0.7142857143

Simplifying
a = -0.7142857143
Solution
a = {-5, -0.7142857143}