=-5a^2+26a-5

Solution for =-5a^2+26a-5 equation:

Simplifying
0 = -5a2 + 26a + -5

Reorder the terms:
0 = -5 + 26a + -5a2

Solving
0 = -5 + 26a + -5a2

Solving for variable 'a'.

Combine like terms: 0 + 5 = 5
5 + -26a + 5a2 = -5 + 26a + -5a2 + 5 + -26a + 5a2

Reorder the terms:
5 + -26a + 5a2 = -5 + 5 + 26a + -26a + -5a2 + 5a2

Combine like terms: -5 + 5 = 0
5 + -26a + 5a2 = 0 + 26a + -26a + -5a2 + 5a2
5 + -26a + 5a2 = 26a + -26a + -5a2 + 5a2

Combine like terms: 26a + -26a = 0
5 + -26a + 5a2 = 0 + -5a2 + 5a2
5 + -26a + 5a2 = -5a2 + 5a2

Combine like terms: -5a2 + 5a2 = 0
5 + -26a + 5a2 = 0

Factor a trinomial.
(1 + -5a)(5 + -1a) = 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 '(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
Solution
a = {0.2, 5}