x^2+14x=1715

Solution for x^2+14x=1715 equation:

Simplifying
x2 + 14x = 1715

Reorder the terms:
14x + x2 = 1715

Solving
14x + x2 = 1715

Solving for variable 'x'.

Reorder the terms:
-1715 + 14x + x2 = 1715 + -1715

Combine like terms: 1715 + -1715 = 0
-1715 + 14x + x2 = 0

Factor a trinomial.
(-49 + -1x)(35 + -1x) = 0

Subproblem 1
Set the factor '(-49 + -1x)' equal to zero and attempt to solve:

Simplifying
-49 + -1x = 0

Solving
-49 + -1x = 0

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

Add '49' to each side of the equation.
-49 + 49 + -1x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -1x = 0 + 49
-1x = 0 + 49

Combine like terms: 0 + 49 = 49
-1x = 49

Divide each side by '-1'.
x = -49

Simplifying
x = -49
Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 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 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {-49, 35}