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Simplifying
4w2 + -14 + -11 = 0
Reorder the terms:
-14 + -11 + 4w2 = 0
Combine like terms: -14 + -11 = -25
-25 + 4w2 = 0
Solving
-25 + 4w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 4w2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 4w2 = 0 + 25
4w2 = 0 + 25
Combine like terms: 0 + 25 = 25
4w2 = 25
Divide each side by '4'.
w2 = 6.25
Simplifying
w2 = 6.25
Take the square root of each side:
w = {-2.5, 2.5}
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