48=2(w)w+2

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Solution for 48=2(w)w+2 equation: 


Simplifying
48 = 2(w) * w + 2

Multiply w * w
48 = 2w2 + 2

Reorder the terms:
48 = 2 + 2w2

Solving
48 = 2 + 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.
48 + -2w2 = 2 + 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
48 + -2w2 = 2 + 0
48 + -2w2 = 2

Add '-48' to each side of the equation.
48 + -48 + -2w2 = 2 + -48

Combine like terms: 48 + -48 = 0
0 + -2w2 = 2 + -48
-2w2 = 2 + -48

Combine like terms: 2 + -48 = -46
-2w2 = -46

Divide each side by '-2'.
w2 = 23

Simplifying
w2 = 23

Take the square root of each side:
w = {-4.795831523, 4.795831523}

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