34X-X^2=93

Solution for 34X-X^2=93 equation:

Simplifying
34X + -1X2 = 93

Solving
34X + -1X2 = 93

Solving for variable 'X'.

Reorder the terms:
-93 + 34X + -1X2 = 93 + -93

Combine like terms: 93 + -93 = 0
-93 + 34X + -1X2 = 0

Factor a trinomial.
(-31 + X)(3 + -1X) = 0

Subproblem 1
Set the factor '(-31 + X)' equal to zero and attempt to solve:

Simplifying
-31 + X = 0

Solving
-31 + X = 0

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

Add '31' to each side of the equation.
-31 + 31 + X = 0 + 31

Combine like terms: -31 + 31 = 0
0 + X = 0 + 31
X = 0 + 31

Combine like terms: 0 + 31 = 31
X = 31

Simplifying
X = 31
Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve:

Simplifying
3 + -1X = 0

Solving
3 + -1X = 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 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Solution
X = {31, 3}