(1-7w)(3+w)=

Solution for (1-7w)(3+w)= equation:

Simplifying
(1 + -7w)(3 + w) = 0

Multiply (1 + -7w) * (3 + w)
(1(3 + w) + -7w * (3 + w)) = 0
((3 * 1 + w * 1) + -7w * (3 + w)) = 0
((3 + 1w) + -7w * (3 + w)) = 0
(3 + 1w + (3 * -7w + w * -7w)) = 0
(3 + 1w + (-21w + -7w2)) = 0

Combine like terms: 1w + -21w = -20w
(3 + -20w + -7w2) = 0

Solving
3 + -20w + -7w2 = 0

Solving for variable 'w'.

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

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

Simplifying
1 + -7w = 0

Solving
1 + -7w = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7w = 0 + -1
-7w = 0 + -1

Combine like terms: 0 + -1 = -1
-7w = -1

Divide each side by '-7'.
w = 0.1428571429

Simplifying
w = 0.1428571429
Subproblem 2
Set the factor '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

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

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

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

Simplifying
w = -3
Solution
w = {0.1428571429, -3}