(5w-18)(w)=35

Solution for (5w-18)(w)=35 equation:

Simplifying
(5w + -18)(w) = 35

Reorder the terms:
(-18 + 5w)(w) = 35

Reorder the terms for easier multiplication:
w(-18 + 5w) = 35
(-18 * w + 5w * w) = 35
(-18w + 5w2) = 35

Solving
-18w + 5w2 = 35

Solving for variable 'w'.

Reorder the terms:
-35 + -18w + 5w2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -18w + 5w2 = 0

Factor a trinomial.
(-7 + -5w)(5 + -1w) = 0

Subproblem 1
Set the factor '(-7 + -5w)' equal to zero and attempt to solve:

Simplifying
-7 + -5w = 0

Solving
-7 + -5w = 0

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

Add '7' to each side of the equation.
-7 + 7 + -5w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5w = 0 + 7
-5w = 0 + 7

Combine like terms: 0 + 7 = 7
-5w = 7

Divide each side by '-5'.
w = -1.4

Simplifying
w = -1.4
Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
Solution
w = {-1.4, 5}