5x^2+8x+12=4x+9

Solution for 5x^2+8x+12=4x+9 equation:

Simplifying
5x2 + 8x + 12 = 4x + 9

Reorder the terms:
12 + 8x + 5x2 = 4x + 9

Reorder the terms:
12 + 8x + 5x2 = 9 + 4x

Solving
12 + 8x + 5x2 = 9 + 4x

Solving for variable 'x'.

Reorder the terms:
12 + -9 + 8x + -4x + 5x2 = 9 + 4x + -9 + -4x

Combine like terms: 12 + -9 = 3
3 + 8x + -4x + 5x2 = 9 + 4x + -9 + -4x

Combine like terms: 8x + -4x = 4x
3 + 4x + 5x2 = 9 + 4x + -9 + -4x

Reorder the terms:
3 + 4x + 5x2 = 9 + -9 + 4x + -4x

Combine like terms: 9 + -9 = 0
3 + 4x + 5x2 = 0 + 4x + -4x
3 + 4x + 5x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 4x + 5x2 = 0

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

Divide each side by '5'.
0.6 + 0.8x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.8x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.8x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.8x + x2 = 0 + -0.6
0.8x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
0.8x + x2 = -0.6

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = -0.6 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = -0.6 + 0.16

Combine like terms: -0.6 + 0.16 = -0.44
0.16 + 0.8x + x2 = -0.44

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = -0.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.