(w-6)(3w-7)=

Solution for (w-6)(3w-7)= equation:

Simplifying
(w + -6)(3w + -7) = 0

Reorder the terms:
(-6 + w)(3w + -7) = 0

Reorder the terms:
(-6 + w)(-7 + 3w) = 0

Multiply (-6 + w) * (-7 + 3w)
(-6(-7 + 3w) + w(-7 + 3w)) = 0
((-7 * -6 + 3w * -6) + w(-7 + 3w)) = 0
((42 + -18w) + w(-7 + 3w)) = 0
(42 + -18w + (-7 * w + 3w * w)) = 0
(42 + -18w + (-7w + 3w2)) = 0

Combine like terms: -18w + -7w = -25w
(42 + -25w + 3w2) = 0

Solving
42 + -25w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(7 + -3w)(6 + -1w) = 0

Subproblem 1
Set the factor '(7 + -3w)' equal to zero and attempt to solve:

Simplifying
7 + -3w = 0

Solving
7 + -3w = 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 + -3w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3w = 0 + -7
-3w = 0 + -7

Combine like terms: 0 + -7 = -7
-3w = -7

Divide each side by '-3'.
w = 2.333333333

Simplifying
w = 2.333333333
Subproblem 2
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Solution
w = {2.333333333, 6}