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Simplifying
4w2 + -3 = 12
Reorder the terms:
-3 + 4w2 = 12
Solving
-3 + 4w2 = 12
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 4w2 = 12 + 3
Combine like terms: -3 + 3 = 0
0 + 4w2 = 12 + 3
4w2 = 12 + 3
Combine like terms: 12 + 3 = 15
4w2 = 15
Divide each side by '4'.
w2 = 3.75
Simplifying
w2 = 3.75
Take the square root of each side:
w = {-1.936491673, 1.936491673}
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