3x^2+16x+16=3600

Solution for 3x^2+16x+16=3600 equation:

Simplifying
3x2 + 16x + 16 = 3600

Reorder the terms:
16 + 16x + 3x2 = 3600

Solving
16 + 16x + 3x2 = 3600

Solving for variable 'x'.

Reorder the terms:
16 + -3600 + 16x + 3x2 = 3600 + -3600

Combine like terms: 16 + -3600 = -3584
-3584 + 16x + 3x2 = 3600 + -3600

Combine like terms: 3600 + -3600 = 0
-3584 + 16x + 3x2 = 0

Factor a trinomial.
(-112 + -3x)(32 + -1x) = 0

Subproblem 1
Set the factor '(-112 + -3x)' equal to zero and attempt to solve:

Simplifying
-112 + -3x = 0

Solving
-112 + -3x = 0

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

Add '112' to each side of the equation.
-112 + 112 + -3x = 0 + 112

Combine like terms: -112 + 112 = 0
0 + -3x = 0 + 112
-3x = 0 + 112

Combine like terms: 0 + 112 = 112
-3x = 112

Divide each side by '-3'.
x = -37.33333333

Simplifying
x = -37.33333333
Subproblem 2
Set the factor '(32 + -1x)' equal to zero and attempt to solve:

Simplifying
32 + -1x = 0

Solving
32 + -1x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 0 + -32
-1x = 0 + -32

Combine like terms: 0 + -32 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32
Solution
x = {-37.33333333, 32}