w^2-29*w=170

Solution for w^2-29*w=170 equation:

Simplifying
w2 + -29w = 170

Reorder the terms:
-29w + w2 = 170

Solving
-29w + w2 = 170

Solving for variable 'w'.

Reorder the terms:
-170 + -29w + w2 = 170 + -170

Combine like terms: 170 + -170 = 0
-170 + -29w + w2 = 0

Factor a trinomial.
(-5 + -1w)(34 + -1w) = 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 '(34 + -1w)' equal to zero and attempt to solve:

Simplifying
34 + -1w = 0

Solving
34 + -1w = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1w = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1w = 0 + -34
-1w = 0 + -34

Combine like terms: 0 + -34 = -34
-1w = -34

Divide each side by '-1'.
w = 34

Simplifying
w = 34
Solution
w = {-5, 34}