16x^2+224x+735=0

Solution for 16x^2+224x+735=0 equation:

Simplifying
16x2 + 224x + 735 = 0

Reorder the terms:
735 + 224x + 16x2 = 0

Solving
735 + 224x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(35 + 4x)(21 + 4x) = 0

Subproblem 1
Set the factor '(35 + 4x)' equal to zero and attempt to solve:

Simplifying
35 + 4x = 0

Solving
35 + 4x = 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 + 4x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 4x = 0 + -35
4x = 0 + -35

Combine like terms: 0 + -35 = -35
4x = -35

Divide each side by '4'.
x = -8.75

Simplifying
x = -8.75
Subproblem 2
Set the factor '(21 + 4x)' equal to zero and attempt to solve:

Simplifying
21 + 4x = 0

Solving
21 + 4x = 0

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

Add '-21' to each side of the equation.
21 + -21 + 4x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = 0 + -21
4x = 0 + -21

Combine like terms: 0 + -21 = -21
4x = -21

Divide each side by '4'.
x = -5.25

Simplifying
x = -5.25
Solution
x = {-8.75, -5.25}