3x^2+8x=10x-3

Solution for 3x^2+8x=10x-3 equation:

Simplifying
3x2 + 8x = 10x + -3

Reorder the terms:
8x + 3x2 = 10x + -3

Reorder the terms:
8x + 3x2 = -3 + 10x

Solving
8x + 3x2 = -3 + 10x

Solving for variable 'x'.

Reorder the terms:
3 + 8x + -10x + 3x2 = -3 + 10x + 3 + -10x

Combine like terms: 8x + -10x = -2x
3 + -2x + 3x2 = -3 + 10x + 3 + -10x

Reorder the terms:
3 + -2x + 3x2 = -3 + 3 + 10x + -10x

Combine like terms: -3 + 3 = 0
3 + -2x + 3x2 = 0 + 10x + -10x
3 + -2x + 3x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
3 + -2x + 3x2 = 0

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

Divide each side by '3'.
1 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.6666666667x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.6666666667x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6666666667x + x2 = 0 + -1
-0.6666666667x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.6666666667x + x2 = -1

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -1 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -1 + 0.1111111112

Combine like terms: -1 + 0.1111111112 = -0.8888888888
0.1111111112 + -0.6666666667x + x2 = -0.8888888888

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.