(5w-1)(2w-8)=

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Solution for (5w-1)(2w-8)= equation: 


Simplifying
(5w + -1)(2w + -8) = 0

Reorder the terms:
(-1 + 5w)(2w + -8) = 0

Reorder the terms:
(-1 + 5w)(-8 + 2w) = 0

Multiply (-1 + 5w) * (-8 + 2w)
(-1(-8 + 2w) + 5w * (-8 + 2w)) = 0
((-8 * -1 + 2w * -1) + 5w * (-8 + 2w)) = 0
((8 + -2w) + 5w * (-8 + 2w)) = 0
(8 + -2w + (-8 * 5w + 2w * 5w)) = 0
(8 + -2w + (-40w + 10w2)) = 0

Combine like terms: -2w + -40w = -42w
(8 + -42w + 10w2) = 0

Solving
8 + -42w + 10w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -21w + 5w2) = 0

Factor a trinomial.
2((1 + -5w)(4 + -1w)) = 0

Ignore the factor 2.

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 '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 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 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Solution
w = {0.2, 4}

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