8a^2+35a-43=0

Solution for 8a^2+35a-43=0 equation:

Simplifying
8a2 + 35a + -43 = 0

Reorder the terms:
-43 + 35a + 8a2 = 0

Solving
-43 + 35a + 8a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-43 + -8a)(1 + -1a) = 0

Subproblem 1
Set the factor '(-43 + -8a)' equal to zero and attempt to solve:

Simplifying
-43 + -8a = 0

Solving
-43 + -8a = 0

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

Add '43' to each side of the equation.
-43 + 43 + -8a = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -8a = 0 + 43
-8a = 0 + 43

Combine like terms: 0 + 43 = 43
-8a = 43

Divide each side by '-8'.
a = -5.375

Simplifying
a = -5.375
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 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 + -1a = 0 + -1

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

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

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

Simplifying
a = 1
Solution
a = {-5.375, 1}