(9w-2)(7w-3)=0

Solution for (9w-2)(7w-3)=0 equation:

Simplifying
(9w + -2)(7w + -3) = 0

Reorder the terms:
(-2 + 9w)(7w + -3) = 0

Reorder the terms:
(-2 + 9w)(-3 + 7w) = 0

Multiply (-2 + 9w) * (-3 + 7w)
(-2(-3 + 7w) + 9w * (-3 + 7w)) = 0
((-3 * -2 + 7w * -2) + 9w * (-3 + 7w)) = 0
((6 + -14w) + 9w * (-3 + 7w)) = 0
(6 + -14w + (-3 * 9w + 7w * 9w)) = 0
(6 + -14w + (-27w + 63w2)) = 0

Combine like terms: -14w + -27w = -41w
(6 + -41w + 63w2) = 0

Solving
6 + -41w + 63w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2 + -9w)(3 + -7w) = 0

Subproblem 1
Set the factor '(2 + -9w)' equal to zero and attempt to solve:

Simplifying
2 + -9w = 0

Solving
2 + -9w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9w = 0 + -2
-9w = 0 + -2

Combine like terms: 0 + -2 = -2
-9w = -2

Divide each side by '-9'.
w = 0.2222222222

Simplifying
w = 0.2222222222
Subproblem 2
Set the factor '(3 + -7w)' equal to zero and attempt to solve:

Simplifying
3 + -7w = 0

Solving
3 + -7w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7w = 0 + -3

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

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

Divide each side by '-7'.
w = 0.4285714286

Simplifying
w = 0.4285714286
Solution
w = {0.2222222222, 0.4285714286}