2w^2-7w=60

Solution for 2w^2-7w=60 equation:

Simplifying
2w2 + -7w = 60

Reorder the terms:
-7w + 2w2 = 60

Solving
-7w + 2w2 = 60

Solving for variable 'w'.

Reorder the terms:
-60 + -7w + 2w2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -7w + 2w2 = 0

Factor a trinomial.
(-4 + -1w)(15 + -2w) = 0

Subproblem 1
Set the factor '(-4 + -1w)' equal to zero and attempt to solve:

Simplifying
-4 + -1w = 0

Solving
-4 + -1w = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1w = 0 + 4
-1w = 0 + 4

Combine like terms: 0 + 4 = 4
-1w = 4

Divide each side by '-1'.
w = -4

Simplifying
w = -4
Subproblem 2
Set the factor '(15 + -2w)' equal to zero and attempt to solve:

Simplifying
15 + -2w = 0

Solving
15 + -2w = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2w = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2w = 0 + -15
-2w = 0 + -15

Combine like terms: 0 + -15 = -15
-2w = -15

Divide each side by '-2'.
w = 7.5

Simplifying
w = 7.5
Solution
w = {-4, 7.5}