4x^2-21+53=7x+8

Solution for 4x^2-21+53=7x+8 equation:

Simplifying
4x2 + -21 + 53 = 7x + 8

Reorder the terms:
-21 + 53 + 4x2 = 7x + 8

Combine like terms: -21 + 53 = 32
32 + 4x2 = 7x + 8

Reorder the terms:
32 + 4x2 = 8 + 7x

Solving
32 + 4x2 = 8 + 7x

Solving for variable 'x'.

Reorder the terms:
32 + -8 + -7x + 4x2 = 8 + 7x + -8 + -7x

Combine like terms: 32 + -8 = 24
24 + -7x + 4x2 = 8 + 7x + -8 + -7x

Reorder the terms:
24 + -7x + 4x2 = 8 + -8 + 7x + -7x

Combine like terms: 8 + -8 = 0
24 + -7x + 4x2 = 0 + 7x + -7x
24 + -7x + 4x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -7x + 4x2 = 0

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

Divide each side by '4'.
6 + -1.75x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1.75x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -1.75x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1.75x + x2 = 0 + -6
-1.75x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1.75x + x2 = -6

The x term is -1.75x.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75x + 0.765625 + x2 = -6 + 0.765625

Reorder the terms:
0.765625 + -1.75x + x2 = -6 + 0.765625

Combine like terms: -6 + 0.765625 = -5.234375
0.765625 + -1.75x + x2 = -5.234375

Factor a perfect square on the left side:
(x + -0.875)(x + -0.875) = -5.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.