(5w-1)(6w+3)=

Solution for (5w-1)(6w+3)= equation:

Simplifying
(5w + -1)(6w + 3) = 0

Reorder the terms:
(-1 + 5w)(6w + 3) = 0

Reorder the terms:
(-1 + 5w)(3 + 6w) = 0

Multiply (-1 + 5w) * (3 + 6w)
(-1(3 + 6w) + 5w * (3 + 6w)) = 0
((3 * -1 + 6w * -1) + 5w * (3 + 6w)) = 0
((-3 + -6w) + 5w * (3 + 6w)) = 0
(-3 + -6w + (3 * 5w + 6w * 5w)) = 0
(-3 + -6w + (15w + 30w2)) = 0

Combine like terms: -6w + 15w = 9w
(-3 + 9w + 30w2) = 0

Solving
-3 + 9w + 30w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 3w + 10w2) = 0

Factor a trinomial.
3((-1 + -2w)(1 + -5w)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -2w)' equal to zero and attempt to solve:

Simplifying
-1 + -2w = 0

Solving
-1 + -2w = 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 + -2w = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2w = 0 + 1
-2w = 0 + 1

Combine like terms: 0 + 1 = 1
-2w = 1

Divide each side by '-2'.
w = -0.5

Simplifying
w = -0.5
Subproblem 2
Set the factor '(1 + -5w)' equal to zero and attempt to solve:

Simplifying
1 + -5w = 0

Solving
1 + -5w = 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 + -5w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5w = 0 + -1
-5w = 0 + -1

Combine like terms: 0 + -1 = -1
-5w = -1

Divide each side by '-5'.
w = 0.2

Simplifying
w = 0.2
Solution
w = {-0.5, 0.2}