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Simplifying
8 = 4w2 + -24
Reorder the terms:
8 = -24 + 4w2
Solving
8 = -24 + 4w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-4w2' to each side of the equation.
8 + -4w2 = -24 + 4w2 + -4w2
Combine like terms: 4w2 + -4w2 = 0
8 + -4w2 = -24 + 0
8 + -4w2 = -24
Add '-8' to each side of the equation.
8 + -8 + -4w2 = -24 + -8
Combine like terms: 8 + -8 = 0
0 + -4w2 = -24 + -8
-4w2 = -24 + -8
Combine like terms: -24 + -8 = -32
-4w2 = -32
Divide each side by '-4'.
w2 = 8
Simplifying
w2 = 8
Take the square root of each side:
w = {-2.828427125, 2.828427125}
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