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

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


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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 3w2 + -3w2 = 0
9 + 4w + 0 = 0
9 + 4w = 0

Solving
9 + 4w = 0

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 4w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4w = 0 + -9
4w = 0 + -9

Combine like terms: 0 + -9 = -9
4w = -9

Divide each side by '4'.
w = -2.25

Simplifying
w = -2.25

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