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Simplifying
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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