35=w(5w-18)

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


Simplifying
35 = w(5w + -18)

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

Solving
35 = -18w + 5w2

Solving for variable 'w'.

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

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

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

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


Subproblem 1
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

Subproblem 2
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
Solution
w = {5, -1.4}

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