3x+5=5x^2+2(x+4)

Solution for 3x+5=5x^2+2(x+4) equation:

Simplifying
3x + 5 = 5x2 + 2(x + 4)

Reorder the terms:
5 + 3x = 5x2 + 2(x + 4)

Reorder the terms:
5 + 3x = 5x2 + 2(4 + x)
5 + 3x = 5x2 + (4 * 2 + x * 2)
5 + 3x = 5x2 + (8 + 2x)

Reorder the terms:
5 + 3x = 8 + 2x + 5x2

Solving
5 + 3x = 8 + 2x + 5x2

Solving for variable 'x'.

Reorder the terms:
5 + -8 + 3x + -2x + -5x2 = 8 + 2x + 5x2 + -8 + -2x + -5x2

Combine like terms: 5 + -8 = -3
-3 + 3x + -2x + -5x2 = 8 + 2x + 5x2 + -8 + -2x + -5x2

Combine like terms: 3x + -2x = 1x
-3 + 1x + -5x2 = 8 + 2x + 5x2 + -8 + -2x + -5x2

Reorder the terms:
-3 + 1x + -5x2 = 8 + -8 + 2x + -2x + 5x2 + -5x2

Combine like terms: 8 + -8 = 0
-3 + 1x + -5x2 = 0 + 2x + -2x + 5x2 + -5x2
-3 + 1x + -5x2 = 2x + -2x + 5x2 + -5x2

Combine like terms: 2x + -2x = 0
-3 + 1x + -5x2 = 0 + 5x2 + -5x2
-3 + 1x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3 + 1x + -5x2 = 0

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

Divide each side by '-5'.
0.6 + -0.2x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.2x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.2x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.2x + x2 = 0 + -0.6
-0.2x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.2x + x2 = -0.6

The x term is -0.2x.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2x + 0.01 + x2 = -0.6 + 0.01

Reorder the terms:
0.01 + -0.2x + x2 = -0.6 + 0.01

Combine like terms: -0.6 + 0.01 = -0.59
0.01 + -0.2x + x2 = -0.59

Factor a perfect square on the left side:
(x + -0.1)(x + -0.1) = -0.59

Can't calculate square root of the right side.

The solution to this equation could not be determined.