x^2-70x+3341=50x+65

Solution for x^2-70x+3341=50x+65 equation:

Simplifying
x2 + -70x + 3341 = 50x + 65

Reorder the terms:
3341 + -70x + x2 = 50x + 65

Reorder the terms:
3341 + -70x + x2 = 65 + 50x

Solving
3341 + -70x + x2 = 65 + 50x

Solving for variable 'x'.

Reorder the terms:
3341 + -65 + -70x + -50x + x2 = 65 + 50x + -65 + -50x

Combine like terms: 3341 + -65 = 3276
3276 + -70x + -50x + x2 = 65 + 50x + -65 + -50x

Combine like terms: -70x + -50x = -120x
3276 + -120x + x2 = 65 + 50x + -65 + -50x

Reorder the terms:
3276 + -120x + x2 = 65 + -65 + 50x + -50x

Combine like terms: 65 + -65 = 0
3276 + -120x + x2 = 0 + 50x + -50x
3276 + -120x + x2 = 50x + -50x

Combine like terms: 50x + -50x = 0
3276 + -120x + x2 = 0

Factor a trinomial.
(42 + -1x)(78 + -1x) = 0

Subproblem 1
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Subproblem 2
Set the factor '(78 + -1x)' equal to zero and attempt to solve:

Simplifying
78 + -1x = 0

Solving
78 + -1x = 0

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

Add '-78' to each side of the equation.
78 + -78 + -1x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -1x = 0 + -78
-1x = 0 + -78

Combine like terms: 0 + -78 = -78
-1x = -78

Divide each side by '-1'.
x = 78

Simplifying
x = 78
Solution
x = {42, 78}