(8w^2-7w+9)+(8w^2+3w+2)-(5w^2-4w-2)=

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Solution for (8w^2-7w+9)+(8w^2+3w+2)-(5w^2-4w-2)= equation: 


Simplifying
(8w2 + -7w + 9) + (8w2 + 3w + 2) + -1(5w2 + -4w + -2) = 0

Reorder the terms:
(9 + -7w + 8w2) + (8w2 + 3w + 2) + -1(5w2 + -4w + -2) = 0

Remove parenthesis around (9 + -7w + 8w2)
9 + -7w + 8w2 + (8w2 + 3w + 2) + -1(5w2 + -4w + -2) = 0

Reorder the terms:
9 + -7w + 8w2 + (2 + 3w + 8w2) + -1(5w2 + -4w + -2) = 0

Remove parenthesis around (2 + 3w + 8w2)
9 + -7w + 8w2 + 2 + 3w + 8w2 + -1(5w2 + -4w + -2) = 0

Reorder the terms:
9 + -7w + 8w2 + 2 + 3w + 8w2 + -1(-2 + -4w + 5w2) = 0
9 + -7w + 8w2 + 2 + 3w + 8w2 + (-2 * -1 + -4w * -1 + 5w2 * -1) = 0
9 + -7w + 8w2 + 2 + 3w + 8w2 + (2 + 4w + -5w2) = 0

Reorder the terms:
9 + 2 + 2 + -7w + 3w + 4w + 8w2 + 8w2 + -5w2 = 0

Combine like terms: 9 + 2 = 11
11 + 2 + -7w + 3w + 4w + 8w2 + 8w2 + -5w2 = 0

Combine like terms: 11 + 2 = 13
13 + -7w + 3w + 4w + 8w2 + 8w2 + -5w2 = 0

Combine like terms: -7w + 3w = -4w
13 + -4w + 4w + 8w2 + 8w2 + -5w2 = 0

Combine like terms: -4w + 4w = 0
13 + 0 + 8w2 + 8w2 + -5w2 = 0
13 + 8w2 + 8w2 + -5w2 = 0

Combine like terms: 8w2 + 8w2 = 16w2
13 + 16w2 + -5w2 = 0

Combine like terms: 16w2 + -5w2 = 11w2
13 + 11w2 = 0

Solving
13 + 11w2 = 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 + 11w2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 11w2 = 0 + -13
11w2 = 0 + -13

Combine like terms: 0 + -13 = -13
11w2 = -13

Divide each side by '11'.
w2 = -1.181818182

Simplifying
w2 = -1.181818182

Reorder the terms:
1.181818182 + w2 = -1.181818182 + 1.181818182

Combine like terms: -1.181818182 + 1.181818182 = 0.000000000
1.181818182 + w2 = 0.000000000

The solution to this equation could not be determined.

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