4x*4x-27x+17=-7x+8

Solution for 4x*4x-27x+17=-7x+8 equation:

Simplifying
4x * 4x + -27x + 17 = -7x + 8

Reorder the terms for easier multiplication:
4 * 4x * x + -27x + 17 = -7x + 8

Multiply 4 * 4
16x * x + -27x + 17 = -7x + 8

Multiply x * x
16x2 + -27x + 17 = -7x + 8

Reorder the terms:
17 + -27x + 16x2 = -7x + 8

Reorder the terms:
17 + -27x + 16x2 = 8 + -7x

Solving
17 + -27x + 16x2 = 8 + -7x

Solving for variable 'x'.

Reorder the terms:
17 + -8 + -27x + 7x + 16x2 = 8 + -7x + -8 + 7x

Combine like terms: 17 + -8 = 9
9 + -27x + 7x + 16x2 = 8 + -7x + -8 + 7x

Combine like terms: -27x + 7x = -20x
9 + -20x + 16x2 = 8 + -7x + -8 + 7x

Reorder the terms:
9 + -20x + 16x2 = 8 + -8 + -7x + 7x

Combine like terms: 8 + -8 = 0
9 + -20x + 16x2 = 0 + -7x + 7x
9 + -20x + 16x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
9 + -20x + 16x2 = 0

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

Divide each side by '16'.
0.5625 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-0.5625' to each side of the equation.
0.5625 + -1.25x + -0.5625 + x2 = 0 + -0.5625

Reorder the terms:
0.5625 + -0.5625 + -1.25x + x2 = 0 + -0.5625

Combine like terms: 0.5625 + -0.5625 = 0.0000
0.0000 + -1.25x + x2 = 0 + -0.5625
-1.25x + x2 = 0 + -0.5625

Combine like terms: 0 + -0.5625 = -0.5625
-1.25x + x2 = -0.5625

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -0.5625 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -0.5625 + 0.390625

Combine like terms: -0.5625 + 0.390625 = -0.171875
0.390625 + -1.25x + x2 = -0.171875

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -0.171875

Can't calculate square root of the right side.

The solution to this equation could not be determined.