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Simplifying
2w2 + -5 + -33 = 0
Reorder the terms:
-5 + -33 + 2w2 = 0
Combine like terms: -5 + -33 = -38
-38 + 2w2 = 0
Solving
-38 + 2w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '38' to each side of the equation.
-38 + 38 + 2w2 = 0 + 38
Combine like terms: -38 + 38 = 0
0 + 2w2 = 0 + 38
2w2 = 0 + 38
Combine like terms: 0 + 38 = 38
2w2 = 38
Divide each side by '2'.
w2 = 19
Simplifying
w2 = 19
Take the square root of each side:
w = {-4.358898944, 4.358898944}
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