70x-x*x-325=0

Solution for 70x-x*x-325=0 equation:

Simplifying
70x + -1x * x + -325 = 0

Multiply x * x
70x + -1x2 + -325 = 0

Reorder the terms:
-325 + 70x + -1x2 = 0

Solving
-325 + 70x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-65 + x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-65 + x)' equal to zero and attempt to solve:

Simplifying
-65 + x = 0

Solving
-65 + x = 0

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

Add '65' to each side of the equation.
-65 + 65 + x = 0 + 65

Combine like terms: -65 + 65 = 0
0 + x = 0 + 65
x = 0 + 65

Combine like terms: 0 + 65 = 65
x = 65

Simplifying
x = 65
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {65, 5}