3w^2-60w-63=0

Solution for 3w^2-60w-63=0 equation:

Simplifying
3w2 + -60w + -63 = 0

Reorder the terms:
-63 + -60w + 3w2 = 0

Solving
-63 + -60w + 3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + -20w + w2) = 0

Factor a trinomial.
3((-1 + -1w)(21 + -1w)) = 0

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

Simplifying
-1 + -1w = 0

Solving
-1 + -1w = 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 + -1w = 0 + 1

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

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

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

Simplifying
w = -1
Subproblem 2
Set the factor '(21 + -1w)' equal to zero and attempt to solve:

Simplifying
21 + -1w = 0

Solving
21 + -1w = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1w = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1w = 0 + -21
-1w = 0 + -21

Combine like terms: 0 + -21 = -21
-1w = -21

Divide each side by '-1'.
w = 21

Simplifying
w = 21
Solution
w = {-1, 21}