(13w+8)(5w-15)=0

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Solution for (13w+8)(5w-15)=0 equation: 


Simplifying
(13w + 8)(5w + -15) = 0

Reorder the terms:
(8 + 13w)(5w + -15) = 0

Reorder the terms:
(8 + 13w)(-15 + 5w) = 0

Multiply (8 + 13w) * (-15 + 5w)
(8(-15 + 5w) + 13w * (-15 + 5w)) = 0
((-15 * 8 + 5w * 8) + 13w * (-15 + 5w)) = 0
((-120 + 40w) + 13w * (-15 + 5w)) = 0
(-120 + 40w + (-15 * 13w + 5w * 13w)) = 0
(-120 + 40w + (-195w + 65w2)) = 0

Combine like terms: 40w + -195w = -155w
(-120 + -155w + 65w2) = 0

Solving
-120 + -155w + 65w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-24 + -31w + 13w2) = 0

Factor a trinomial.
5((-8 + -13w)(3 + -1w)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-8 + -13w)' equal to zero and attempt to solve:

Simplifying
-8 + -13w = 0

Solving
-8 + -13w = 0

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

Add '8' to each side of the equation.
-8 + 8 + -13w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -13w = 0 + 8
-13w = 0 + 8

Combine like terms: 0 + 8 = 8
-13w = 8

Divide each side by '-13'.
w = -0.6153846154

Simplifying
w = -0.6153846154

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 = {-0.6153846154, 3}

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