(3w-3)(4w+5)=

Solution for (3w-3)(4w+5)= equation:

Simplifying
(3w + -3)(4w + 5) = 0

Reorder the terms:
(-3 + 3w)(4w + 5) = 0

Reorder the terms:
(-3 + 3w)(5 + 4w) = 0

Multiply (-3 + 3w) * (5 + 4w)
(-3(5 + 4w) + 3w * (5 + 4w)) = 0
((5 * -3 + 4w * -3) + 3w * (5 + 4w)) = 0
((-15 + -12w) + 3w * (5 + 4w)) = 0
(-15 + -12w + (5 * 3w + 4w * 3w)) = 0
(-15 + -12w + (15w + 12w2)) = 0

Combine like terms: -12w + 15w = 3w
(-15 + 3w + 12w2) = 0

Solving
-15 + 3w + 12w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + w + 4w2) = 0

Factor a trinomial.
3((-5 + -4w)(1 + -1w)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-5 + -4w)' equal to zero and attempt to solve:

Simplifying
-5 + -4w = 0

Solving
-5 + -4w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4w = 0 + 5
-4w = 0 + 5

Combine like terms: 0 + 5 = 5
-4w = 5

Divide each side by '-4'.
w = -1.25

Simplifying
w = -1.25
Subproblem 2
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
Solution
w = {-1.25, 1}