x^2+16x=1457

Solution for x^2+16x=1457 equation:

Simplifying
x2 + 16x = 1457

Reorder the terms:
16x + x2 = 1457

Solving
16x + x2 = 1457

Solving for variable 'x'.

Reorder the terms:
-1457 + 16x + x2 = 1457 + -1457

Combine like terms: 1457 + -1457 = 0
-1457 + 16x + x2 = 0

Factor a trinomial.
(-47 + -1x)(31 + -1x) = 0

Subproblem 1
Set the factor '(-47 + -1x)' equal to zero and attempt to solve:

Simplifying
-47 + -1x = 0

Solving
-47 + -1x = 0

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

Add '47' to each side of the equation.
-47 + 47 + -1x = 0 + 47

Combine like terms: -47 + 47 = 0
0 + -1x = 0 + 47
-1x = 0 + 47

Combine like terms: 0 + 47 = 47
-1x = 47

Divide each side by '-1'.
x = -47

Simplifying
x = -47
Subproblem 2
Set the factor '(31 + -1x)' equal to zero and attempt to solve:

Simplifying
31 + -1x = 0

Solving
31 + -1x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -1x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -1x = 0 + -31
-1x = 0 + -31

Combine like terms: 0 + -31 = -31
-1x = -31

Divide each side by '-1'.
x = 31

Simplifying
x = 31
Solution
x = {-47, 31}