=9x^2-35x+24

Solution for =9x^2-35x+24 equation:

Simplifying
0 = 9x2 + -35x + 24

Reorder the terms:
0 = 24 + -35x + 9x2

Solving
0 = 24 + -35x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -24 = -24
-24 + 35x + -9x2 = 24 + -35x + 9x2 + -24 + 35x + -9x2

Reorder the terms:
-24 + 35x + -9x2 = 24 + -24 + -35x + 35x + 9x2 + -9x2

Combine like terms: 24 + -24 = 0
-24 + 35x + -9x2 = 0 + -35x + 35x + 9x2 + -9x2
-24 + 35x + -9x2 = -35x + 35x + 9x2 + -9x2

Combine like terms: -35x + 35x = 0
-24 + 35x + -9x2 = 0 + 9x2 + -9x2
-24 + 35x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-24 + 35x + -9x2 = 0

Factor a trinomial.
(-3 + x)(8 + -9x) = 0

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

Simplifying
-3 + x = 0

Solving
-3 + x = 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 + x = 0 + 3

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

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

Simplifying
x = 3
Subproblem 2
Set the factor '(8 + -9x)' equal to zero and attempt to solve:

Simplifying
8 + -9x = 0

Solving
8 + -9x = 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 + -9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 0 + -8
-9x = 0 + -8

Combine like terms: 0 + -8 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889
Solution
x = {3, 0.8888888889}