5a^2=26a+24

Solution for 5a^2=26a+24 equation:

Simplifying
5a2 = 26a + 24

Reorder the terms:
5a2 = 24 + 26a

Solving
5a2 = 24 + 26a

Solving for variable 'a'.

Reorder the terms:
-24 + -26a + 5a2 = 24 + 26a + -24 + -26a

Reorder the terms:
-24 + -26a + 5a2 = 24 + -24 + 26a + -26a

Combine like terms: 24 + -24 = 0
-24 + -26a + 5a2 = 0 + 26a + -26a
-24 + -26a + 5a2 = 26a + -26a

Combine like terms: 26a + -26a = 0
-24 + -26a + 5a2 = 0

Factor a trinomial.
(-4 + -5a)(6 + -1a) = 0

Subproblem 1
Set the factor '(-4 + -5a)' equal to zero and attempt to solve:

Simplifying
-4 + -5a = 0

Solving
-4 + -5a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5a = 0 + 4
-5a = 0 + 4

Combine like terms: 0 + 4 = 4
-5a = 4

Divide each side by '-5'.
a = -0.8

Simplifying
a = -0.8
Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {-0.8, 6}