(W+5)(W+5)+80=0

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Solution for (W+5)(W+5)+80=0 equation:


Simplifying
(W + 5)(W + 5) + 80 = 0

Reorder the terms:
(5 + W)(W + 5) + 80 = 0

Reorder the terms:
(5 + W)(5 + W) + 80 = 0

Multiply (5 + W) * (5 + W)
(5(5 + W) + W(5 + W)) + 80 = 0
((5 * 5 + W * 5) + W(5 + W)) + 80 = 0
((25 + 5W) + W(5 + W)) + 80 = 0
(25 + 5W + (5 * W + W * W)) + 80 = 0
(25 + 5W + (5W + W2)) + 80 = 0

Combine like terms: 5W + 5W = 10W
(25 + 10W + W2) + 80 = 0

Reorder the terms:
25 + 80 + 10W + W2 = 0

Combine like terms: 25 + 80 = 105
105 + 10W + W2 = 0

Solving
105 + 10W + W2 = 0

Solving for variable 'W'.

Begin completing the square.

Move the constant term to the right:

Add '-105' to each side of the equation.
105 + 10W + -105 + W2 = 0 + -105

Reorder the terms:
105 + -105 + 10W + W2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + 10W + W2 = 0 + -105
10W + W2 = 0 + -105

Combine like terms: 0 + -105 = -105
10W + W2 = -105

The W term is 10W.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10W + 25 + W2 = -105 + 25

Reorder the terms:
25 + 10W + W2 = -105 + 25

Combine like terms: -105 + 25 = -80
25 + 10W + W2 = -80

Factor a perfect square on the left side:
(W + 5)(W + 5) = -80

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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