10a^2-7a-26=0

Solution for 10a^2-7a-26=0 equation:

Simplifying
10a2 + -7a + -26 = 0

Reorder the terms:
-26 + -7a + 10a2 = 0

Solving
-26 + -7a + 10a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-13 + -10a)(2 + -1a) = 0

Subproblem 1
Set the factor '(-13 + -10a)' equal to zero and attempt to solve:

Simplifying
-13 + -10a = 0

Solving
-13 + -10a = 0

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

Add '13' to each side of the equation.
-13 + 13 + -10a = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -10a = 0 + 13
-10a = 0 + 13

Combine like terms: 0 + 13 = 13
-10a = 13

Divide each side by '-10'.
a = -1.3

Simplifying
a = -1.3
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {-1.3, 2}