62x-x^2=945

Solution for 62x-x^2=945 equation:

Simplifying
62x + -1x2 = 945

Solving
62x + -1x2 = 945

Solving for variable 'x'.

Reorder the terms:
-945 + 62x + -1x2 = 945 + -945

Combine like terms: 945 + -945 = 0
-945 + 62x + -1x2 = 0

Factor a trinomial.
(-35 + x)(27 + -1x) = 0

Subproblem 1
Set the factor '(-35 + x)' equal to zero and attempt to solve:

Simplifying
-35 + x = 0

Solving
-35 + x = 0

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

Add '35' to each side of the equation.
-35 + 35 + x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + x = 0 + 35
x = 0 + 35

Combine like terms: 0 + 35 = 35
x = 35

Simplifying
x = 35
Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve:

Simplifying
27 + -1x = 0

Solving
27 + -1x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 0 + -27
-1x = 0 + -27

Combine like terms: 0 + -27 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27
Solution
x = {35, 27}