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

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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 = -27w
(15 + -27w + 12w2) = 0

Solving
15 + -27w + 12w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -9w + 4w2) = 0

Factor a trinomial.
3((1 + -1w)(5 + -4w)) = 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 '(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
Solution
w = {1, 1.25}

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