4x^2-3+9=2x+1

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Solution for 4x^2-3+9=2x+1 equation: 


Simplifying
4x2 + -3 + 9 = 2x + 1

Reorder the terms:
-3 + 9 + 4x2 = 2x + 1

Combine like terms: -3 + 9 = 6
6 + 4x2 = 2x + 1

Reorder the terms:
6 + 4x2 = 1 + 2x

Solving
6 + 4x2 = 1 + 2x

Solving for variable 'x'.

Reorder the terms:
6 + -1 + -2x + 4x2 = 1 + 2x + -1 + -2x

Combine like terms: 6 + -1 = 5
5 + -2x + 4x2 = 1 + 2x + -1 + -2x

Reorder the terms:
5 + -2x + 4x2 = 1 + -1 + 2x + -2x

Combine like terms: 1 + -1 = 0
5 + -2x + 4x2 = 0 + 2x + -2x
5 + -2x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -2x + 4x2 = 0

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

Divide each side by '4'.
1.25 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.5x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.5x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.5x + x2 = 0 + -1.25
-0.5x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.5x + x2 = -1.25

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -1.25 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -1.25 + 0.0625

Combine like terms: -1.25 + 0.0625 = -1.1875
0.0625 + -0.5x + x2 = -1.1875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -1.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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