8a*a+37a-15=0

Solution for 8a*a+37a-15=0 equation:

Simplifying
8a * a + 37a + -15 = 0

Multiply a * a
8a2 + 37a + -15 = 0

Reorder the terms:
-15 + 37a + 8a2 = 0

Solving
-15 + 37a + 8a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -1a)(3 + -8a) = 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 '(3 + -8a)' equal to zero and attempt to solve:

Simplifying
3 + -8a = 0

Solving
3 + -8a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8a = 0 + -3
-8a = 0 + -3

Combine like terms: 0 + -3 = -3
-8a = -3

Divide each side by '-8'.
a = 0.375

Simplifying
a = 0.375
Solution
a = {-5, 0.375}