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Simplifying
102 = 3w2 + 21
Reorder the terms:
102 = 21 + 3w2
Solving
102 = 21 + 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.
102 + -3w2 = 21 + 3w2 + -3w2
Combine like terms: 3w2 + -3w2 = 0
102 + -3w2 = 21 + 0
102 + -3w2 = 21
Add '-102' to each side of the equation.
102 + -102 + -3w2 = 21 + -102
Combine like terms: 102 + -102 = 0
0 + -3w2 = 21 + -102
-3w2 = 21 + -102
Combine like terms: 21 + -102 = -81
-3w2 = -81
Divide each side by '-3'.
w2 = 27
Simplifying
w2 = 27
Take the square root of each side:
w = {-5.196152423, 5.196152423}
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