(-5u^2+7u-3)-(4u^2-2u+3)+(2u^2+2u-3)=

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Solution for (-5u^2+7u-3)-(4u^2-2u+3)+(2u^2+2u-3)= equation:


Simplifying
(-5u2 + 7u + -3) + -1(4u2 + -2u + 3) + (2u2 + 2u + -3) = 0

Reorder the terms:
(-3 + 7u + -5u2) + -1(4u2 + -2u + 3) + (2u2 + 2u + -3) = 0

Remove parenthesis around (-3 + 7u + -5u2)
-3 + 7u + -5u2 + -1(4u2 + -2u + 3) + (2u2 + 2u + -3) = 0

Reorder the terms:
-3 + 7u + -5u2 + -1(3 + -2u + 4u2) + (2u2 + 2u + -3) = 0
-3 + 7u + -5u2 + (3 * -1 + -2u * -1 + 4u2 * -1) + (2u2 + 2u + -3) = 0
-3 + 7u + -5u2 + (-3 + 2u + -4u2) + (2u2 + 2u + -3) = 0

Reorder the terms:
-3 + 7u + -5u2 + -3 + 2u + -4u2 + (-3 + 2u + 2u2) = 0

Remove parenthesis around (-3 + 2u + 2u2)
-3 + 7u + -5u2 + -3 + 2u + -4u2 + -3 + 2u + 2u2 = 0

Reorder the terms:
-3 + -3 + -3 + 7u + 2u + 2u + -5u2 + -4u2 + 2u2 = 0

Combine like terms: -3 + -3 = -6
-6 + -3 + 7u + 2u + 2u + -5u2 + -4u2 + 2u2 = 0

Combine like terms: -6 + -3 = -9
-9 + 7u + 2u + 2u + -5u2 + -4u2 + 2u2 = 0

Combine like terms: 7u + 2u = 9u
-9 + 9u + 2u + -5u2 + -4u2 + 2u2 = 0

Combine like terms: 9u + 2u = 11u
-9 + 11u + -5u2 + -4u2 + 2u2 = 0

Combine like terms: -5u2 + -4u2 = -9u2
-9 + 11u + -9u2 + 2u2 = 0

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

Solving
-9 + 11u + -7u2 = 0

Solving for variable 'u'.

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
1.285714286 + -1.571428571u + u2 = 0

Move the constant term to the right:

Add '-1.285714286' to each side of the equation.
1.285714286 + -1.571428571u + -1.285714286 + u2 = 0 + -1.285714286

Reorder the terms:
1.285714286 + -1.285714286 + -1.571428571u + u2 = 0 + -1.285714286

Combine like terms: 1.285714286 + -1.285714286 = 0.000000000
0.000000000 + -1.571428571u + u2 = 0 + -1.285714286
-1.571428571u + u2 = 0 + -1.285714286

Combine like terms: 0 + -1.285714286 = -1.285714286
-1.571428571u + u2 = -1.285714286

The u term is -1.571428571u.  Take half its coefficient (-0.7857142855).
Square it (0.6173469384) and add it to both sides.

Add '0.6173469384' to each side of the equation.
-1.571428571u + 0.6173469384 + u2 = -1.285714286 + 0.6173469384

Reorder the terms:
0.6173469384 + -1.571428571u + u2 = -1.285714286 + 0.6173469384

Combine like terms: -1.285714286 + 0.6173469384 = -0.6683673476
0.6173469384 + -1.571428571u + u2 = -0.6683673476

Factor a perfect square on the left side:
(u + -0.7857142855)(u + -0.7857142855) = -0.6683673476

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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