4w^2+28w-735=0

Solution for 4w^2+28w-735=0 equation:

Simplifying
4w2 + 28w + -735 = 0

Reorder the terms:
-735 + 28w + 4w2 = 0

Solving
-735 + 28w + 4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-35 + -2w)(21 + -2w) = 0

Subproblem 1
Set the factor '(-35 + -2w)' equal to zero and attempt to solve:

Simplifying
-35 + -2w = 0

Solving
-35 + -2w = 0

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

Add '35' to each side of the equation.
-35 + 35 + -2w = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -2w = 0 + 35
-2w = 0 + 35

Combine like terms: 0 + 35 = 35
-2w = 35

Divide each side by '-2'.
w = -17.5

Simplifying
w = -17.5
Subproblem 2
Set the factor '(21 + -2w)' equal to zero and attempt to solve:

Simplifying
21 + -2w = 0

Solving
21 + -2w = 0

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

Add '-21' to each side of the equation.
21 + -21 + -2w = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -2w = 0 + -21
-2w = 0 + -21

Combine like terms: 0 + -21 = -21
-2w = -21

Divide each side by '-2'.
w = 10.5

Simplifying
w = 10.5
Solution
w = {-17.5, 10.5}