2(w+5)(w-25)=0

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Solution for 2(w+5)(w-25)=0 equation: 


Simplifying
2(w + 5)(w + -25) = 0

Reorder the terms:
2(5 + w)(w + -25) = 0

Reorder the terms:
2(5 + w)(-25 + w) = 0

Multiply (5 + w) * (-25 + w)
2(5(-25 + w) + w(-25 + w)) = 0
2((-25 * 5 + w * 5) + w(-25 + w)) = 0
2((-125 + 5w) + w(-25 + w)) = 0
2(-125 + 5w + (-25 * w + w * w)) = 0
2(-125 + 5w + (-25w + w2)) = 0

Combine like terms: 5w + -25w = -20w
2(-125 + -20w + w2) = 0
(-125 * 2 + -20w * 2 + w2 * 2) = 0
(-250 + -40w + 2w2) = 0

Solving
-250 + -40w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-125 + -20w + w2) = 0

Factor a trinomial.
2((-5 + -1w)(25 + -1w)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(25 + -1w)' equal to zero and attempt to solve:

Simplifying
25 + -1w = 0

Solving
25 + -1w = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1w = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1w = 0 + -25
-1w = 0 + -25

Combine like terms: 0 + -25 = -25
-1w = -25

Divide each side by '-1'.
w = 25

Simplifying
w = 25
Solution
w = {-5, 25}

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