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

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


Simplifying
(3x2 + x + 4) + -1(2x + -3) = 0

Reorder the terms:
(4 + x + 3x2) + -1(2x + -3) = 0

Remove parenthesis around (4 + x + 3x2)
4 + x + 3x2 + -1(2x + -3) = 0

Reorder the terms:
4 + x + 3x2 + -1(-3 + 2x) = 0
4 + x + 3x2 + (-3 * -1 + 2x * -1) = 0
4 + x + 3x2 + (3 + -2x) = 0

Reorder the terms:
4 + 3 + x + -2x + 3x2 = 0

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

Combine like terms: x + -2x = -1x
7 + -1x + 3x2 = 0

Solving
7 + -1x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
2.333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -0.3333333333x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -0.3333333333x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -2.333333333
-0.3333333333x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-0.3333333333x + x2 = -2.333333333

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -2.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -2.333333333 + 0.02777777779

Combine like terms: -2.333333333 + 0.02777777779 = -2.30555555521
0.02777777779 + -0.3333333333x + x2 = -2.30555555521

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -2.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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