4x^2-13+21=3x+6

Solution for 4x^2-13+21=3x+6 equation:

Simplifying
4x2 + -13 + 21 = 3x + 6

Reorder the terms:
-13 + 21 + 4x2 = 3x + 6

Combine like terms: -13 + 21 = 8
8 + 4x2 = 3x + 6

Reorder the terms:
8 + 4x2 = 6 + 3x

Solving
8 + 4x2 = 6 + 3x

Solving for variable 'x'.

Reorder the terms:
8 + -6 + -3x + 4x2 = 6 + 3x + -6 + -3x

Combine like terms: 8 + -6 = 2
2 + -3x + 4x2 = 6 + 3x + -6 + -3x

Reorder the terms:
2 + -3x + 4x2 = 6 + -6 + 3x + -3x

Combine like terms: 6 + -6 = 0
2 + -3x + 4x2 = 0 + 3x + -3x
2 + -3x + 4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -3x + 4x2 = 0

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

Divide each side by '4'.
0.5 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.75x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.75x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.75x + x2 = 0 + -0.5
-0.75x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.75x + x2 = -0.5

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -0.5 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -0.5 + 0.140625

Combine like terms: -0.5 + 0.140625 = -0.359375
0.140625 + -0.75x + x2 = -0.359375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.