(6u^2-4u-3)+(-4u^2-8u+9)-(2u^2+6u+5)=

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Solution for (6u^2-4u-3)+(-4u^2-8u+9)-(2u^2+6u+5)= equation: 


Simplifying
(6u2 + -4u + -3) + (-4u2 + -8u + 9) + -1(2u2 + 6u + 5) = 0

Reorder the terms:
(-3 + -4u + 6u2) + (-4u2 + -8u + 9) + -1(2u2 + 6u + 5) = 0

Remove parenthesis around (-3 + -4u + 6u2)
-3 + -4u + 6u2 + (-4u2 + -8u + 9) + -1(2u2 + 6u + 5) = 0

Reorder the terms:
-3 + -4u + 6u2 + (9 + -8u + -4u2) + -1(2u2 + 6u + 5) = 0

Remove parenthesis around (9 + -8u + -4u2)
-3 + -4u + 6u2 + 9 + -8u + -4u2 + -1(2u2 + 6u + 5) = 0

Reorder the terms:
-3 + -4u + 6u2 + 9 + -8u + -4u2 + -1(5 + 6u + 2u2) = 0
-3 + -4u + 6u2 + 9 + -8u + -4u2 + (5 * -1 + 6u * -1 + 2u2 * -1) = 0
-3 + -4u + 6u2 + 9 + -8u + -4u2 + (-5 + -6u + -2u2) = 0

Reorder the terms:
-3 + 9 + -5 + -4u + -8u + -6u + 6u2 + -4u2 + -2u2 = 0

Combine like terms: -3 + 9 = 6
6 + -5 + -4u + -8u + -6u + 6u2 + -4u2 + -2u2 = 0

Combine like terms: 6 + -5 = 1
1 + -4u + -8u + -6u + 6u2 + -4u2 + -2u2 = 0

Combine like terms: -4u + -8u = -12u
1 + -12u + -6u + 6u2 + -4u2 + -2u2 = 0

Combine like terms: -12u + -6u = -18u
1 + -18u + 6u2 + -4u2 + -2u2 = 0

Combine like terms: 6u2 + -4u2 = 2u2
1 + -18u + 2u2 + -2u2 = 0

Combine like terms: 2u2 + -2u2 = 0
1 + -18u + 0 = 0
1 + -18u = 0

Solving
1 + -18u = 0

Solving for variable 'u'.

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

Add '-1' to each side of the equation.
1 + -1 + -18u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -18u = 0 + -1
-18u = 0 + -1

Combine like terms: 0 + -1 = -1
-18u = -1

Divide each side by '-18'.
u = 0.05555555556

Simplifying
u = 0.05555555556

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