(4u^2)-5u+9=-u+4

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

Simplifying
(4u2) + -5u + 9 = -1u + 4

Reorder the terms:
9 + -5u + (4u2) = -1u + 4

Reorder the terms:
9 + -5u + (4u2) = 4 + -1u

Solving
9 + -5u + (4u2) = 4 + -1u

Solving for variable 'u'.

Reorder the terms:
9 + -4 + -5u + u + (4u2) = 4 + -1u + -4 + u

Combine like terms: 9 + -4 = 5
5 + -5u + u + (4u2) = 4 + -1u + -4 + u

Combine like terms: -5u + u = -4u
5 + -4u + (4u2) = 4 + -1u + -4 + u

Reorder the terms:
5 + -4u + (4u2) = 4 + -4 + -1u + u

Combine like terms: 4 + -4 = 0
5 + -4u + (4u2) = 0 + -1u + u
5 + -4u + (4u2) = -1u + u

Combine like terms: -1u + u = 0
5 + -4u + (4u2) = 0

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

Divide each side by '4'.
1.25 + -1u + u2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1u + -1.25 + u2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1u + u2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1u + u2 = 0 + -1.25
-1u + u2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1u + u2 = -1.25

The u term is -1u.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1u + 0.25 + u2 = -1.25 + 0.25

Reorder the terms:
0.25 + -1u + u2 = -1.25 + 0.25

Combine like terms: -1.25 + 0.25 = -1
0.25 + -1u + u2 = -1

Factor a perfect square on the left side:
((u) + -0.5)((u) + -0.5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.