4x+3=x(-4x+3)

Solution for 4x+3=x(-4x+3) equation:

Simplifying
4x + 3 = x(-4x + 3)

Reorder the terms:
3 + 4x = x(-4x + 3)

Reorder the terms:
3 + 4x = x(3 + -4x)
3 + 4x = (3 * x + -4x * x)
3 + 4x = (3x + -4x2)

Solving
3 + 4x = 3x + -4x2

Solving for variable 'x'.

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

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

Combine like terms: 3x + -3x = 0
3 + 1x + 4x2 = 0 + -4x2 + 4x2
3 + 1x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
3 + 1x + 4x2 = 0

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

Divide each side by '4'.
0.75 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.25x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.25x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.25x + x2 = 0 + -0.75
0.25x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.25x + x2 = -0.75

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 = -0.75 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.75 + 0.015625

Combine like terms: -0.75 + 0.015625 = -0.734375
0.015625 + 0.25x + x2 = -0.734375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.