2(7x^2+3x+2)-(8x^2-7)=

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Solution for 2(7x^2+3x+2)-(8x^2-7)= equation: 


Simplifying
2(7x2 + 3x + 2) + -1(8x2 + -7) = 0

Reorder the terms:
2(2 + 3x + 7x2) + -1(8x2 + -7) = 0
(2 * 2 + 3x * 2 + 7x2 * 2) + -1(8x2 + -7) = 0
(4 + 6x + 14x2) + -1(8x2 + -7) = 0

Reorder the terms:
4 + 6x + 14x2 + -1(-7 + 8x2) = 0
4 + 6x + 14x2 + (-7 * -1 + 8x2 * -1) = 0
4 + 6x + 14x2 + (7 + -8x2) = 0

Reorder the terms:
4 + 7 + 6x + 14x2 + -8x2 = 0

Combine like terms: 4 + 7 = 11
11 + 6x + 14x2 + -8x2 = 0

Combine like terms: 14x2 + -8x2 = 6x2
11 + 6x + 6x2 = 0

Solving
11 + 6x + 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'.
1.833333333 + x + x2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + x + -1.833333333 + x2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + x + x2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + x + x2 = 0 + -1.833333333
x + x2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
x + x2 = -1.833333333

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -1.833333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -1.833333333 + 0.25

Combine like terms: -1.833333333 + 0.25 = -1.583333333
1.25 + x2 = -1.583333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.583333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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