36=(4w-7)w

Solution for 36=(4w-7)w equation:

Simplifying
36 = (4w + -7) * w

Reorder the terms:
36 = (-7 + 4w) * w

Reorder the terms for easier multiplication:
36 = w(-7 + 4w)
36 = (-7 * w + 4w * w)
36 = (-7w + 4w2)

Solving
36 = -7w + 4w2

Solving for variable 'w'.

Reorder the terms:
36 + 7w + -4w2 = -7w + 7w + 4w2 + -4w2

Combine like terms: -7w + 7w = 0
36 + 7w + -4w2 = 0 + 4w2 + -4w2
36 + 7w + -4w2 = 4w2 + -4w2

Combine like terms: 4w2 + -4w2 = 0
36 + 7w + -4w2 = 0

Factor a trinomial.
(4 + -1w)(9 + 4w) = 0

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

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Subproblem 2
Set the factor '(9 + 4w)' equal to zero and attempt to solve:

Simplifying
9 + 4w = 0

Solving
9 + 4w = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4w = 0 + -9
4w = 0 + -9

Combine like terms: 0 + -9 = -9
4w = -9

Divide each side by '4'.
w = -2.25

Simplifying
w = -2.25
Solution
w = {4, -2.25}