4u*4u+7u=-3

Solution for 4u*4u+7u=-3 equation:

Simplifying
4u * 4u + 7u = -3

Reorder the terms for easier multiplication:
4 * 4u * u + 7u = -3

Multiply 4 * 4
16u * u + 7u = -3

Multiply u * u
16u2 + 7u = -3

Reorder the terms:
7u + 16u2 = -3

Solving
7u + 16u2 = -3

Solving for variable 'u'.

Reorder the terms:
3 + 7u + 16u2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 7u + 16u2 = 0

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

Divide each side by '16'.
0.1875 + 0.4375u + u2 = 0

Move the constant term to the right:

Add '-0.1875' to each side of the equation.
0.1875 + 0.4375u + -0.1875 + u2 = 0 + -0.1875

Reorder the terms:
0.1875 + -0.1875 + 0.4375u + u2 = 0 + -0.1875

Combine like terms: 0.1875 + -0.1875 = 0.0000
0.0000 + 0.4375u + u2 = 0 + -0.1875
0.4375u + u2 = 0 + -0.1875

Combine like terms: 0 + -0.1875 = -0.1875
0.4375u + u2 = -0.1875

The u term is 0.4375u.  Take half its coefficient (0.21875).
Square it (0.0478515625) and add it to both sides.

Add '0.0478515625' to each side of the equation.
0.4375u + 0.0478515625 + u2 = -0.1875 + 0.0478515625

Reorder the terms:
0.0478515625 + 0.4375u + u2 = -0.1875 + 0.0478515625

Combine like terms: -0.1875 + 0.0478515625 = -0.1396484375
0.0478515625 + 0.4375u + u2 = -0.1396484375

Factor a perfect square on the left side:
(u + 0.21875)(u + 0.21875) = -0.1396484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.