(4x^2-3x+7)+(2x^2+4x)=

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Solution for (4x^2-3x+7)+(2x^2+4x)= equation: 


Simplifying
(4x2 + -3x + 7) + (2x2 + 4x) = 0

Reorder the terms:
(7 + -3x + 4x2) + (2x2 + 4x) = 0

Remove parenthesis around (7 + -3x + 4x2)
7 + -3x + 4x2 + (2x2 + 4x) = 0

Reorder the terms:
7 + -3x + 4x2 + (4x + 2x2) = 0

Remove parenthesis around (4x + 2x2)
7 + -3x + 4x2 + 4x + 2x2 = 0

Reorder the terms:
7 + -3x + 4x + 4x2 + 2x2 = 0

Combine like terms: -3x + 4x = 1x
7 + 1x + 4x2 + 2x2 = 0

Combine like terms: 4x2 + 2x2 = 6x2
7 + 1x + 6x2 = 0

Solving
7 + 1x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1.166666667 + 0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + 0.1666666667x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + 0.1666666667x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + 0.1666666667x + x2 = 0 + -1.166666667
0.1666666667x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
0.1666666667x + x2 = -1.166666667

The x term is 0.1666666667x.  Take half its coefficient (0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
0.1666666667x + 0.006944444447 + x2 = -1.166666667 + 0.006944444447

Reorder the terms:
0.006944444447 + 0.1666666667x + x2 = -1.166666667 + 0.006944444447

Combine like terms: -1.166666667 + 0.006944444447 = -1.159722222553
0.006944444447 + 0.1666666667x + x2 = -1.159722222553

Factor a perfect square on the left side:
(x + 0.08333333335)(x + 0.08333333335) = -1.159722222553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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