28=w(w+w)+1

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Solution for 28=w(w+w)+1 equation: 


Simplifying
28 = w(w + w) + 1

Combine like terms: w + w = 2w
28 = w(2w) + 1

Remove parenthesis around (2w)
28 = w * 2w + 1

Reorder the terms for easier multiplication:
28 = 2w * w + 1

Multiply w * w
28 = 2w2 + 1

Reorder the terms:
28 = 1 + 2w2

Solving
28 = 1 + 2w2

Solving for variable 'w'.

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

Add '-2w2' to each side of the equation.
28 + -2w2 = 1 + 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
28 + -2w2 = 1 + 0
28 + -2w2 = 1

Add '-28' to each side of the equation.
28 + -28 + -2w2 = 1 + -28

Combine like terms: 28 + -28 = 0
0 + -2w2 = 1 + -28
-2w2 = 1 + -28

Combine like terms: 1 + -28 = -27
-2w2 = -27

Divide each side by '-2'.
w2 = 13.5

Simplifying
w2 = 13.5

Take the square root of each side:
w = {-3.674234614, 3.674234614}

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