25a^2+18a-5=8a-6

Solution for 25a^2+18a-5=8a-6 equation:

Simplifying
25a2 + 18a + -5 = 8a + -6

Reorder the terms:
-5 + 18a + 25a2 = 8a + -6

Reorder the terms:
-5 + 18a + 25a2 = -6 + 8a

Solving
-5 + 18a + 25a2 = -6 + 8a

Solving for variable 'a'.

Reorder the terms:
-5 + 6 + 18a + -8a + 25a2 = -6 + 8a + 6 + -8a

Combine like terms: -5 + 6 = 1
1 + 18a + -8a + 25a2 = -6 + 8a + 6 + -8a

Combine like terms: 18a + -8a = 10a
1 + 10a + 25a2 = -6 + 8a + 6 + -8a

Reorder the terms:
1 + 10a + 25a2 = -6 + 6 + 8a + -8a

Combine like terms: -6 + 6 = 0
1 + 10a + 25a2 = 0 + 8a + -8a
1 + 10a + 25a2 = 8a + -8a

Combine like terms: 8a + -8a = 0
1 + 10a + 25a2 = 0

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

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

Simplifying
1 + 5a = 0

Solving
1 + 5a = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5a = 0 + -1

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

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

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

Simplifying
a = -0.2
Subproblem 2
Set the factor '(1 + 5a)' equal to zero and attempt to solve:

Simplifying
1 + 5a = 0

Solving
1 + 5a = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5a = 0 + -1

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

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

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

Simplifying
a = -0.2
Solution
a = {-0.2, -0.2}