x^2+16x+64=160000

Solution for x^2+16x+64=160000 equation:

Simplifying
x2 + 16x + 64 = 160000

Reorder the terms:
64 + 16x + x2 = 160000

Solving
64 + 16x + x2 = 160000

Solving for variable 'x'.

Reorder the terms:
64 + -160000 + 16x + x2 = 160000 + -160000

Combine like terms: 64 + -160000 = -159936
-159936 + 16x + x2 = 160000 + -160000

Combine like terms: 160000 + -160000 = 0
-159936 + 16x + x2 = 0

Factor a trinomial.
(-408 + -1x)(392 + -1x) = 0

Subproblem 1
Set the factor '(-408 + -1x)' equal to zero and attempt to solve:

Simplifying
-408 + -1x = 0

Solving
-408 + -1x = 0

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

Add '408' to each side of the equation.
-408 + 408 + -1x = 0 + 408

Combine like terms: -408 + 408 = 0
0 + -1x = 0 + 408
-1x = 0 + 408

Combine like terms: 0 + 408 = 408
-1x = 408

Divide each side by '-1'.
x = -408

Simplifying
x = -408
Subproblem 2
Set the factor '(392 + -1x)' equal to zero and attempt to solve:

Simplifying
392 + -1x = 0

Solving
392 + -1x = 0

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

Add '-392' to each side of the equation.
392 + -392 + -1x = 0 + -392

Combine like terms: 392 + -392 = 0
0 + -1x = 0 + -392
-1x = 0 + -392

Combine like terms: 0 + -392 = -392
-1x = -392

Divide each side by '-1'.
x = 392

Simplifying
x = 392
Solution
x = {-408, 392}