4w^2-w-150=0

Solution for 4w^2-w-150=0 equation:

Simplifying
4w2 + -1w + -150 = 0

Reorder the terms:
-150 + -1w + 4w2 = 0

Solving
-150 + -1w + 4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-6 + -1w)(25 + -4w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(25 + -4w)' equal to zero and attempt to solve:

Simplifying
25 + -4w = 0

Solving
25 + -4w = 0

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

Add '-25' to each side of the equation.
25 + -25 + -4w = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -4w = 0 + -25
-4w = 0 + -25

Combine like terms: 0 + -25 = -25
-4w = -25

Divide each side by '-4'.
w = 6.25

Simplifying
w = 6.25
Solution
w = {-6, 6.25}