4x^2+9=x+5

Solution for 4x^2+9=x+5 equation:

Simplifying
4x2 + 9 = x + 5

Reorder the terms:
9 + 4x2 = x + 5

Reorder the terms:
9 + 4x2 = 5 + x

Solving
9 + 4x2 = 5 + x

Solving for variable 'x'.

Reorder the terms:
9 + -5 + -1x + 4x2 = 5 + x + -5 + -1x

Combine like terms: 9 + -5 = 4
4 + -1x + 4x2 = 5 + x + -5 + -1x

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

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

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

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

Divide each side by '4'.
1 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.25x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.25x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25x + x2 = 0 + -1
-0.25x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.25x + x2 = -1

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -1 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1 + 0.015625

Combine like terms: -1 + 0.015625 = -0.984375
0.015625 + -0.25x + x2 = -0.984375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.