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Simplifying
w2 + -5 = 12 + -12w2
Reorder the terms:
-5 + w2 = 12 + -12w2
Solving
-5 + w2 = 12 + -12w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '12w2' to each side of the equation.
-5 + w2 + 12w2 = 12 + -12w2 + 12w2
Combine like terms: w2 + 12w2 = 13w2
-5 + 13w2 = 12 + -12w2 + 12w2
Combine like terms: -12w2 + 12w2 = 0
-5 + 13w2 = 12 + 0
-5 + 13w2 = 12
Add '5' to each side of the equation.
-5 + 5 + 13w2 = 12 + 5
Combine like terms: -5 + 5 = 0
0 + 13w2 = 12 + 5
13w2 = 12 + 5
Combine like terms: 12 + 5 = 17
13w2 = 17
Divide each side by '13'.
w2 = 1.307692308
Simplifying
w2 = 1.307692308
Take the square root of each side:
w = {-1.14354375, 1.14354375}
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