x^2+16x+128=3200

Solution for x^2+16x+128=3200 equation:

Simplifying
x2 + 16x + 128 = 3200

Reorder the terms:
128 + 16x + x2 = 3200

Solving
128 + 16x + x2 = 3200

Solving for variable 'x'.

Reorder the terms:
128 + -3200 + 16x + x2 = 3200 + -3200

Combine like terms: 128 + -3200 = -3072
-3072 + 16x + x2 = 3200 + -3200

Combine like terms: 3200 + -3200 = 0
-3072 + 16x + x2 = 0

Factor a trinomial.
(-64 + -1x)(48 + -1x) = 0

Subproblem 1
Set the factor '(-64 + -1x)' equal to zero and attempt to solve:

Simplifying
-64 + -1x = 0

Solving
-64 + -1x = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1x = 0 + 64
-1x = 0 + 64

Combine like terms: 0 + 64 = 64
-1x = 64

Divide each side by '-1'.
x = -64

Simplifying
x = -64
Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve:

Simplifying
48 + -1x = 0

Solving
48 + -1x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = 0 + -48
-1x = 0 + -48

Combine like terms: 0 + -48 = -48
-1x = -48

Divide each side by '-1'.
x = 48

Simplifying
x = 48
Solution
x = {-64, 48}