(4x*4x)-11x+13=7

Solution for (4x*4x)-11x+13=7 equation:

Simplifying
(4x * 4x) + -11x + 13 = 7

Reorder the terms for easier multiplication:
(4 * 4x * x) + -11x + 13 = 7

Multiply 4 * 4
(16x * x) + -11x + 13 = 7

Multiply x * x
(16x2) + -11x + 13 = 7

Reorder the terms:
13 + -11x + (16x2) = 7

Solving
13 + -11x + (16x2) = 7

Solving for variable 'x'.

Reorder the terms:
13 + -7 + -11x + (16x2) = 7 + -7

Combine like terms: 13 + -7 = 6
6 + -11x + (16x2) = 7 + -7

Combine like terms: 7 + -7 = 0
6 + -11x + (16x2) = 0

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

Divide each side by '16'.
0.375 + -0.6875x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -0.6875x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -0.6875x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -0.6875x + x2 = 0 + -0.375
-0.6875x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-0.6875x + x2 = -0.375

The x term is -0.6875x.  Take half its coefficient (-0.34375).
Square it (0.1181640625) and add it to both sides.

Add '0.1181640625' to each side of the equation.
-0.6875x + 0.1181640625 + x2 = -0.375 + 0.1181640625

Reorder the terms:
0.1181640625 + -0.6875x + x2 = -0.375 + 0.1181640625

Combine like terms: -0.375 + 0.1181640625 = -0.2568359375
0.1181640625 + -0.6875x + x2 = -0.2568359375

Factor a perfect square on the left side:
((x) + -0.34375)((x) + -0.34375) = -0.2568359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.