88x^2-97x+24=0

Solution for 88x^2-97x+24=0 equation:

Simplifying
88x2 + -97x + 24 = 0

Reorder the terms:
24 + -97x + 88x2 = 0

Solving
24 + -97x + 88x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -8x)(8 + -11x) = 0

Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 0

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

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

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

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

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

Simplifying
x = 0.375
Subproblem 2
Set the factor '(8 + -11x)' equal to zero and attempt to solve:

Simplifying
8 + -11x = 0

Solving
8 + -11x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -11x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -11x = 0 + -8
-11x = 0 + -8

Combine like terms: 0 + -8 = -8
-11x = -8

Divide each side by '-11'.
x = 0.7272727273

Simplifying
x = 0.7272727273
Solution
x = {0.375, 0.7272727273}