60x-x^2=731

Solution for 60x-x^2=731 equation:

Simplifying
60x + -1x2 = 731

Solving
60x + -1x2 = 731

Solving for variable 'x'.

Reorder the terms:
-731 + 60x + -1x2 = 731 + -731

Combine like terms: 731 + -731 = 0
-731 + 60x + -1x2 = 0

Factor a trinomial.
(-43 + x)(17 + -1x) = 0

Subproblem 1
Set the factor '(-43 + x)' equal to zero and attempt to solve:

Simplifying
-43 + x = 0

Solving
-43 + x = 0

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

Add '43' to each side of the equation.
-43 + 43 + x = 0 + 43

Combine like terms: -43 + 43 = 0
0 + x = 0 + 43
x = 0 + 43

Combine like terms: 0 + 43 = 43
x = 43

Simplifying
x = 43
Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {43, 17}