24a^2+26a-63=0

Solution for 24a^2+26a-63=0 equation:

Simplifying
24a2 + 26a + -63 = 0

Reorder the terms:
-63 + 26a + 24a2 = 0

Solving
-63 + 26a + 24a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9 + -4a)(7 + -6a) = 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 '(7 + -6a)' equal to zero and attempt to solve:

Simplifying
7 + -6a = 0

Solving
7 + -6a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6a = 0 + -7
-6a = 0 + -7

Combine like terms: 0 + -7 = -7
-6a = -7

Divide each side by '-6'.
a = 1.166666667

Simplifying
a = 1.166666667
Solution
a = {-2.25, 1.166666667}