(9w+4)(5w-15)=0

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Solution for (9w+4)(5w-15)=0 equation: 


Simplifying
(9w + 4)(5w + -15) = 0

Reorder the terms:
(4 + 9w)(5w + -15) = 0

Reorder the terms:
(4 + 9w)(-15 + 5w) = 0

Multiply (4 + 9w) * (-15 + 5w)
(4(-15 + 5w) + 9w * (-15 + 5w)) = 0
((-15 * 4 + 5w * 4) + 9w * (-15 + 5w)) = 0
((-60 + 20w) + 9w * (-15 + 5w)) = 0
(-60 + 20w + (-15 * 9w + 5w * 9w)) = 0
(-60 + 20w + (-135w + 45w2)) = 0

Combine like terms: 20w + -135w = -115w
(-60 + -115w + 45w2) = 0

Solving
-60 + -115w + 45w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -23w + 9w2) = 0

Factor a trinomial.
5((-4 + -9w)(3 + -1w)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + -9w)' equal to zero and attempt to solve:

Simplifying
-4 + -9w = 0

Solving
-4 + -9w = 0

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

Add '4' to each side of the equation.
-4 + 4 + -9w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9w = 0 + 4
-9w = 0 + 4

Combine like terms: 0 + 4 = 4
-9w = 4

Divide each side by '-9'.
w = -0.4444444444

Simplifying
w = -0.4444444444

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

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-0.4444444444, 3}

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