4a^2+5a-9=

Solution for 4a^2+5a-9= equation:

Simplifying
4a2 + 5a + -9 = 0

Reorder the terms:
-9 + 5a + 4a2 = 0

Solving
-9 + 5a + 4a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9 + -4a)(1 + -1a) = 0

Subproblem 1
Set the factor '(-9 + -4a)' equal to zero and attempt to solve:

Simplifying
-9 + -4a = 0

Solving
-9 + -4a = 0

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

Add '9' to each side of the equation.
-9 + 9 + -4a = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4a = 0 + 9
-4a = 0 + 9

Combine like terms: 0 + 9 = 9
-4a = 9

Divide each side by '-4'.
a = -2.25

Simplifying
a = -2.25
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 = {-2.25, 1}