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Simplifying
-5w2 + 51 = 6
Reorder the terms:
51 + -5w2 = 6
Solving
51 + -5w2 = 6
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-51' to each side of the equation.
51 + -51 + -5w2 = 6 + -51
Combine like terms: 51 + -51 = 0
0 + -5w2 = 6 + -51
-5w2 = 6 + -51
Combine like terms: 6 + -51 = -45
-5w2 = -45
Divide each side by '-5'.
w2 = 9
Simplifying
w2 = 9
Take the square root of each side:
w = {-3, 3}
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