5x^2-3x+1=3x^2+4x-6

Solution for 5x^2-3x+1=3x^2+4x-6 equation:

Simplifying
5x2 + -3x + 1 = 3x2 + 4x + -6

Reorder the terms:
1 + -3x + 5x2 = 3x2 + 4x + -6

Reorder the terms:
1 + -3x + 5x2 = -6 + 4x + 3x2

Solving
1 + -3x + 5x2 = -6 + 4x + 3x2

Solving for variable 'x'.

Reorder the terms:
1 + 6 + -3x + -4x + 5x2 + -3x2 = -6 + 4x + 3x2 + 6 + -4x + -3x2

Combine like terms: 1 + 6 = 7
7 + -3x + -4x + 5x2 + -3x2 = -6 + 4x + 3x2 + 6 + -4x + -3x2

Combine like terms: -3x + -4x = -7x
7 + -7x + 5x2 + -3x2 = -6 + 4x + 3x2 + 6 + -4x + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
7 + -7x + 2x2 = -6 + 4x + 3x2 + 6 + -4x + -3x2

Reorder the terms:
7 + -7x + 2x2 = -6 + 6 + 4x + -4x + 3x2 + -3x2

Combine like terms: -6 + 6 = 0
7 + -7x + 2x2 = 0 + 4x + -4x + 3x2 + -3x2
7 + -7x + 2x2 = 4x + -4x + 3x2 + -3x2

Combine like terms: 4x + -4x = 0
7 + -7x + 2x2 = 0 + 3x2 + -3x2
7 + -7x + 2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
7 + -7x + 2x2 = 0

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

Divide each side by '2'.
3.5 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -3.5x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -3.5x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -3.5x + x2 = 0 + -3.5
-3.5x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-3.5x + x2 = -3.5

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -3.5 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -3.5 + 3.0625

Combine like terms: -3.5 + 3.0625 = -0.4375
3.0625 + -3.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.