45x-(x*x)-324=0

Solution for 45x-(x*x)-324=0 equation:

Simplifying
45x + -1(x * x) + -324 = 0

Multiply x * x
45x + -1(x2) + -324 = 0

Reorder the terms:
-324 + 45x + -1x2 = 0

Solving
-324 + 45x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-36 + x)(9 + -1x) = 0

Subproblem 1
Set the factor '(-36 + x)' equal to zero and attempt to solve:

Simplifying
-36 + x = 0

Solving
-36 + x = 0

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

Add '36' to each side of the equation.
-36 + 36 + x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + x = 0 + 36
x = 0 + 36

Combine like terms: 0 + 36 = 36
x = 36

Simplifying
x = 36
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 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 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {36, 9}