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Simplifying
93 = 3w2 + 9
Reorder the terms:
93 = 9 + 3w2
Solving
93 = 9 + 3w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-3w2' to each side of the equation.
93 + -3w2 = 9 + 3w2 + -3w2
Combine like terms: 3w2 + -3w2 = 0
93 + -3w2 = 9 + 0
93 + -3w2 = 9
Add '-93' to each side of the equation.
93 + -93 + -3w2 = 9 + -93
Combine like terms: 93 + -93 = 0
0 + -3w2 = 9 + -93
-3w2 = 9 + -93
Combine like terms: 9 + -93 = -84
-3w2 = -84
Divide each side by '-3'.
w2 = 28
Simplifying
w2 = 28
Take the square root of each side:
w = {-5.291502622, 5.291502622}
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