(3w-15)(15w-3)=0

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Solution for (3w-15)(15w-3)=0 equation: 


Simplifying
(3w + -15)(15w + -3) = 0

Reorder the terms:
(-15 + 3w)(15w + -3) = 0

Reorder the terms:
(-15 + 3w)(-3 + 15w) = 0

Multiply (-15 + 3w) * (-3 + 15w)
(-15(-3 + 15w) + 3w * (-3 + 15w)) = 0
((-3 * -15 + 15w * -15) + 3w * (-3 + 15w)) = 0
((45 + -225w) + 3w * (-3 + 15w)) = 0
(45 + -225w + (-3 * 3w + 15w * 3w)) = 0
(45 + -225w + (-9w + 45w2)) = 0

Combine like terms: -225w + -9w = -234w
(45 + -234w + 45w2) = 0

Solving
45 + -234w + 45w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '9'.
9(5 + -26w + 5w2) = 0

Factor a trinomial.
9((1 + -5w)(5 + -1w)) = 0

Ignore the factor 9.

Subproblem 1
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

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

Simplifying
5 + -1w = 0

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

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

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

Divide each side by '-1'.
w = 5

Simplifying
w = 5
Solution
w = {0.2, 5}

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