(5u*5u)+6=17u

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Solution for (5u*5u)+6=17u equation:


Simplifying
(5u * 5u) + 6 = 17u

Reorder the terms for easier multiplication:
(5 * 5u * u) + 6 = 17u

Multiply 5 * 5
(25u * u) + 6 = 17u

Multiply u * u
(25u2) + 6 = 17u

Reorder the terms:
6 + (25u2) = 17u

Solving
6 + (25u2) = 17u

Solving for variable 'u'.

Reorder the terms:
6 + -17u + (25u2) = 17u + -17u

Combine like terms: 17u + -17u = 0
6 + -17u + (25u2) = 0

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

Divide each side by '25'.
0.24 + -0.68u + u2 = 0

Move the constant term to the right:

Add '-0.24' to each side of the equation.
0.24 + -0.68u + -0.24 + u2 = 0 + -0.24

Reorder the terms:
0.24 + -0.24 + -0.68u + u2 = 0 + -0.24

Combine like terms: 0.24 + -0.24 = 0.00
0.00 + -0.68u + u2 = 0 + -0.24
-0.68u + u2 = 0 + -0.24

Combine like terms: 0 + -0.24 = -0.24
-0.68u + u2 = -0.24

The u term is -0.68u.  Take half its coefficient (-0.34).
Square it (0.1156) and add it to both sides.

Add '0.1156' to each side of the equation.
-0.68u + 0.1156 + u2 = -0.24 + 0.1156

Reorder the terms:
0.1156 + -0.68u + u2 = -0.24 + 0.1156

Combine like terms: -0.24 + 0.1156 = -0.1244
0.1156 + -0.68u + u2 = -0.1244

Factor a perfect square on the left side:
((u) + -0.34)((u) + -0.34) = -0.1244

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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