(4x^2+6x+7)+(6x^2+8x)=

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Solution for (4x^2+6x+7)+(6x^2+8x)= equation:


Simplifying
(4x2 + 6x + 7) + (6x2 + 8x) = 0

Reorder the terms:
(7 + 6x + 4x2) + (6x2 + 8x) = 0

Remove parenthesis around (7 + 6x + 4x2)
7 + 6x + 4x2 + (6x2 + 8x) = 0

Reorder the terms:
7 + 6x + 4x2 + (8x + 6x2) = 0

Remove parenthesis around (8x + 6x2)
7 + 6x + 4x2 + 8x + 6x2 = 0

Reorder the terms:
7 + 6x + 8x + 4x2 + 6x2 = 0

Combine like terms: 6x + 8x = 14x
7 + 14x + 4x2 + 6x2 = 0

Combine like terms: 4x2 + 6x2 = 10x2
7 + 14x + 10x2 = 0

Solving
7 + 14x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
0.7 + 1.4x + x2 = 0.0

Move the constant term to the right:

Add '-0.7' to each side of the equation.
0.7 + 1.4x + -0.7 + x2 = 0.0 + -0.7

Reorder the terms:
0.7 + -0.7 + 1.4x + x2 = 0.0 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 1.4x + x2 = 0.0 + -0.7
1.4x + x2 = 0.0 + -0.7

Combine like terms: 0.0 + -0.7 = -0.7
1.4x + x2 = -0.7

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = -0.7 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = -0.7 + 0.49

Combine like terms: -0.7 + 0.49 = -0.21
0.49 + 1.4x + x2 = -0.21

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = -0.21

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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