4x^2-17+21=4x+1

Solution for 4x^2-17+21=4x+1 equation:

Simplifying
4x2 + -17 + 21 = 4x + 1

Reorder the terms:
-17 + 21 + 4x2 = 4x + 1

Combine like terms: -17 + 21 = 4
4 + 4x2 = 4x + 1

Reorder the terms:
4 + 4x2 = 1 + 4x

Solving
4 + 4x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
4 + -1 + -4x + 4x2 = 1 + 4x + -1 + -4x

Combine like terms: 4 + -1 = 3
3 + -4x + 4x2 = 1 + 4x + -1 + -4x

Reorder the terms:
3 + -4x + 4x2 = 1 + -1 + 4x + -4x

Combine like terms: 1 + -1 = 0
3 + -4x + 4x2 = 0 + 4x + -4x
3 + -4x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -4x + 4x2 = 0

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

Divide each side by '4'.
0.75 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1x + x2 = 0 + -0.75
-1x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1x + x2 = -0.75

The x term is -1x.  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.
-1x + 0.25 + x2 = -0.75 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
0.25 + -1x + x2 = -0.5

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.