(w+30)(w-35)=0

Solution for (w+30)(w-35)=0 equation:

Simplifying
(w + 30)(w + -35) = 0

Reorder the terms:
(30 + w)(w + -35) = 0

Reorder the terms:
(30 + w)(-35 + w) = 0

Multiply (30 + w) * (-35 + w)
(30(-35 + w) + w(-35 + w)) = 0
((-35 * 30 + w * 30) + w(-35 + w)) = 0
((-1050 + 30w) + w(-35 + w)) = 0
(-1050 + 30w + (-35 * w + w * w)) = 0
(-1050 + 30w + (-35w + w2)) = 0

Combine like terms: 30w + -35w = -5w
(-1050 + -5w + w2) = 0

Solving
-1050 + -5w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-30 + -1w)(35 + -1w) = 0

Subproblem 1
Set the factor '(-30 + -1w)' equal to zero and attempt to solve:

Simplifying
-30 + -1w = 0

Solving
-30 + -1w = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1w = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1w = 0 + 30
-1w = 0 + 30

Combine like terms: 0 + 30 = 30
-1w = 30

Divide each side by '-1'.
w = -30

Simplifying
w = -30
Subproblem 2
Set the factor '(35 + -1w)' equal to zero and attempt to solve:

Simplifying
35 + -1w = 0

Solving
35 + -1w = 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 + -1w = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1w = 0 + -35
-1w = 0 + -35

Combine like terms: 0 + -35 = -35
-1w = -35

Divide each side by '-1'.
w = 35

Simplifying
w = 35
Solution
w = {-30, 35}