0=9x^2-97x+144

Solution for 0=9x^2-97x+144 equation:

Simplifying
0 = 9x2 + -97x + 144

Reorder the terms:
0 = 144 + -97x + 9x2

Solving
0 = 144 + -97x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -144 = -144
-144 + 97x + -9x2 = 144 + -97x + 9x2 + -144 + 97x + -9x2

Reorder the terms:
-144 + 97x + -9x2 = 144 + -144 + -97x + 97x + 9x2 + -9x2

Combine like terms: 144 + -144 = 0
-144 + 97x + -9x2 = 0 + -97x + 97x + 9x2 + -9x2
-144 + 97x + -9x2 = -97x + 97x + 9x2 + -9x2

Combine like terms: -97x + 97x = 0
-144 + 97x + -9x2 = 0 + 9x2 + -9x2
-144 + 97x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-144 + 97x + -9x2 = 0

Factor a trinomial.
(-9 + x)(16 + -9x) = 0

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

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

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

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

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

Simplifying
x = 9
Subproblem 2
Set the factor '(16 + -9x)' equal to zero and attempt to solve:

Simplifying
16 + -9x = 0

Solving
16 + -9x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -9x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = 0 + -16
-9x = 0 + -16

Combine like terms: 0 + -16 = -16
-9x = -16

Divide each side by '-9'.
x = 1.777777778

Simplifying
x = 1.777777778
Solution
x = {9, 1.777777778}