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Simplifying
4w2 + 3 = 9
Reorder the terms:
3 + 4w2 = 9
Solving
3 + 4w2 = 9
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 = 9 + -3
Combine like terms: 3 + -3 = 0
0 + 4w2 = 9 + -3
4w2 = 9 + -3
Combine like terms: 9 + -3 = 6
4w2 = 6
Divide each side by '4'.
w2 = 1.5
Simplifying
w2 = 1.5
Take the square root of each side:
w = {-1.224744871, 1.224744871}
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