w(6w-29)=42

Solution for w(6w-29)=42 equation:

Simplifying
w(6w + -29) = 42

Reorder the terms:
w(-29 + 6w) = 42
(-29 * w + 6w * w) = 42
(-29w + 6w2) = 42

Solving
-29w + 6w2 = 42

Solving for variable 'w'.

Reorder the terms:
-42 + -29w + 6w2 = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + -29w + 6w2 = 0

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

Subproblem 1
Set the factor '(-7 + -6w)' equal to zero and attempt to solve:

Simplifying
-7 + -6w = 0

Solving
-7 + -6w = 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 + -6w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6w = 0 + 7
-6w = 0 + 7

Combine like terms: 0 + 7 = 7
-6w = 7

Divide each side by '-6'.
w = -1.166666667

Simplifying
w = -1.166666667
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 = {-1.166666667, 6}