(2w-10)(10w-2)=0

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Solution for (2w-10)(10w-2)=0 equation: 


Simplifying
(2w + -10)(10w + -2) = 0

Reorder the terms:
(-10 + 2w)(10w + -2) = 0

Reorder the terms:
(-10 + 2w)(-2 + 10w) = 0

Multiply (-10 + 2w) * (-2 + 10w)
(-10(-2 + 10w) + 2w * (-2 + 10w)) = 0
((-2 * -10 + 10w * -10) + 2w * (-2 + 10w)) = 0
((20 + -100w) + 2w * (-2 + 10w)) = 0
(20 + -100w + (-2 * 2w + 10w * 2w)) = 0
(20 + -100w + (-4w + 20w2)) = 0

Combine like terms: -100w + -4w = -104w
(20 + -104w + 20w2) = 0

Solving
20 + -104w + 20w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + -26w + 5w2) = 0

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

Ignore the factor 4.

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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