(-4U^2+6U-2)-(U^2+3U+5)=

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Solution for (-4U^2+6U-2)-(U^2+3U+5)= equation: 


Simplifying
(-4U2 + 6U + -2) + -1(U2 + 3U + 5) = 0

Reorder the terms:
(-2 + 6U + -4U2) + -1(U2 + 3U + 5) = 0

Remove parenthesis around (-2 + 6U + -4U2)
-2 + 6U + -4U2 + -1(U2 + 3U + 5) = 0

Reorder the terms:
-2 + 6U + -4U2 + -1(5 + 3U + U2) = 0
-2 + 6U + -4U2 + (5 * -1 + 3U * -1 + U2 * -1) = 0
-2 + 6U + -4U2 + (-5 + -3U + -1U2) = 0

Reorder the terms:
-2 + -5 + 6U + -3U + -4U2 + -1U2 = 0

Combine like terms: -2 + -5 = -7
-7 + 6U + -3U + -4U2 + -1U2 = 0

Combine like terms: 6U + -3U = 3U
-7 + 3U + -4U2 + -1U2 = 0

Combine like terms: -4U2 + -1U2 = -5U2
-7 + 3U + -5U2 = 0

Solving
-7 + 3U + -5U2 = 0

Solving for variable 'U'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.4 + -0.6U + U2 = 0

Move the constant term to the right:

Add '-1.4' to each side of the equation.
1.4 + -0.6U + -1.4 + U2 = 0 + -1.4

Reorder the terms:
1.4 + -1.4 + -0.6U + U2 = 0 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -0.6U + U2 = 0 + -1.4
-0.6U + U2 = 0 + -1.4

Combine like terms: 0 + -1.4 = -1.4
-0.6U + U2 = -1.4

The U term is -0.6U.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6U + 0.09 + U2 = -1.4 + 0.09

Reorder the terms:
0.09 + -0.6U + U2 = -1.4 + 0.09

Combine like terms: -1.4 + 0.09 = -1.31
0.09 + -0.6U + U2 = -1.31

Factor a perfect square on the left side:
(U + -0.3)(U + -0.3) = -1.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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