(-3u^2+8u+1)-(4u^2-9u+8)+(-2u^2-2u-4)=

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Solution for (-3u^2+8u+1)-(4u^2-9u+8)+(-2u^2-2u-4)= equation:


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

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

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

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

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

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

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

Combine like terms: 1 + -8 = -7
-7 + -4 + 8u + 9u + -2u + -3u2 + -4u2 + -2u2 = 0

Combine like terms: -7 + -4 = -11
-11 + 8u + 9u + -2u + -3u2 + -4u2 + -2u2 = 0

Combine like terms: 8u + 9u = 17u
-11 + 17u + -2u + -3u2 + -4u2 + -2u2 = 0

Combine like terms: 17u + -2u = 15u
-11 + 15u + -3u2 + -4u2 + -2u2 = 0

Combine like terms: -3u2 + -4u2 = -7u2
-11 + 15u + -7u2 + -2u2 = 0

Combine like terms: -7u2 + -2u2 = -9u2
-11 + 15u + -9u2 = 0

Solving
-11 + 15u + -9u2 = 0

Solving for variable 'u'.

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
1.222222222 + -1.666666667u + u2 = 0

Move the constant term to the right:

Add '-1.222222222' to each side of the equation.
1.222222222 + -1.666666667u + -1.222222222 + u2 = 0 + -1.222222222

Reorder the terms:
1.222222222 + -1.222222222 + -1.666666667u + u2 = 0 + -1.222222222

Combine like terms: 1.222222222 + -1.222222222 = 0.000000000
0.000000000 + -1.666666667u + u2 = 0 + -1.222222222
-1.666666667u + u2 = 0 + -1.222222222

Combine like terms: 0 + -1.222222222 = -1.222222222
-1.666666667u + u2 = -1.222222222

The u term is -1.666666667u.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667u + 0.6944444447 + u2 = -1.222222222 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667u + u2 = -1.222222222 + 0.6944444447

Combine like terms: -1.222222222 + 0.6944444447 = -0.5277777773
0.6944444447 + -1.666666667u + u2 = -0.5277777773

Factor a perfect square on the left side:
(u + -0.8333333335)(u + -0.8333333335) = -0.5277777773

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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