-25=-6a^2-25a

Solution for -25=-6a^2-25a equation:

Simplifying
-25 = -6a2 + -25a

Reorder the terms:
-25 = -25a + -6a2

Solving
-25 = -25a + -6a2

Solving for variable 'a'.

Reorder the terms:
-25 + 25a + 6a2 = -25a + 25a + -6a2 + 6a2

Combine like terms: -25a + 25a = 0
-25 + 25a + 6a2 = 0 + -6a2 + 6a2
-25 + 25a + 6a2 = -6a2 + 6a2

Combine like terms: -6a2 + 6a2 = 0
-25 + 25a + 6a2 = 0

Factor a trinomial.
(-5 + -1a)(5 + -6a) = 0

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

Simplifying
-5 + -1a = 0

Solving
-5 + -1a = 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 + -1a = 0 + 5

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

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

Divide each side by '-1'.
a = -5

Simplifying
a = -5
Subproblem 2
Set the factor '(5 + -6a)' equal to zero and attempt to solve:

Simplifying
5 + -6a = 0

Solving
5 + -6a = 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 + -6a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6a = 0 + -5
-6a = 0 + -5

Combine like terms: 0 + -5 = -5
-6a = -5

Divide each side by '-6'.
a = 0.8333333333

Simplifying
a = 0.8333333333
Solution
a = {-5, 0.8333333333}