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Simplifying
(-13w2 + 13) + -1(2w2) = 0
Reorder the terms:
(13 + -13w2) + -1(2w2) = 0
Remove parenthesis around (13 + -13w2)
13 + -13w2 + -1(2w2) = 0
Remove parenthesis around (2w2)
13 + -13w2 + -1 * 2w2 = 0
Multiply -1 * 2
13 + -13w2 + -2w2 = 0
Combine like terms: -13w2 + -2w2 = -15w2
13 + -15w2 = 0
Solving
13 + -15w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + -15w2 = 0 + -13
Combine like terms: 13 + -13 = 0
0 + -15w2 = 0 + -13
-15w2 = 0 + -13
Combine like terms: 0 + -13 = -13
-15w2 = -13
Divide each side by '-15'.
w2 = 0.8666666667
Simplifying
w2 = 0.8666666667
Take the square root of each side:
w = {-0.930949336, 0.930949336}
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