7x+14=-8(x^2+3x+2)+5x+5

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Solution for 7x+14=-8(x^2+3x+2)+5x+5 equation: 


Simplifying
7x + 14 = -8(x2 + 3x + 2) + 5x + 5

Reorder the terms:
14 + 7x = -8(x2 + 3x + 2) + 5x + 5

Reorder the terms:
14 + 7x = -8(2 + 3x + x2) + 5x + 5
14 + 7x = (2 * -8 + 3x * -8 + x2 * -8) + 5x + 5
14 + 7x = (-16 + -24x + -8x2) + 5x + 5

Reorder the terms:
14 + 7x = -16 + 5 + -24x + 5x + -8x2

Combine like terms: -16 + 5 = -11
14 + 7x = -11 + -24x + 5x + -8x2

Combine like terms: -24x + 5x = -19x
14 + 7x = -11 + -19x + -8x2

Solving
14 + 7x = -11 + -19x + -8x2

Solving for variable 'x'.

Reorder the terms:
14 + 11 + 7x + 19x + 8x2 = -11 + -19x + -8x2 + 11 + 19x + 8x2

Combine like terms: 14 + 11 = 25
25 + 7x + 19x + 8x2 = -11 + -19x + -8x2 + 11 + 19x + 8x2

Combine like terms: 7x + 19x = 26x
25 + 26x + 8x2 = -11 + -19x + -8x2 + 11 + 19x + 8x2

Reorder the terms:
25 + 26x + 8x2 = -11 + 11 + -19x + 19x + -8x2 + 8x2

Combine like terms: -11 + 11 = 0
25 + 26x + 8x2 = 0 + -19x + 19x + -8x2 + 8x2
25 + 26x + 8x2 = -19x + 19x + -8x2 + 8x2

Combine like terms: -19x + 19x = 0
25 + 26x + 8x2 = 0 + -8x2 + 8x2
25 + 26x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
25 + 26x + 8x2 = 0

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

Divide each side by '8'.
3.125 + 3.25x + x2 = 0

Move the constant term to the right:

Add '-3.125' to each side of the equation.
3.125 + 3.25x + -3.125 + x2 = 0 + -3.125

Reorder the terms:
3.125 + -3.125 + 3.25x + x2 = 0 + -3.125

Combine like terms: 3.125 + -3.125 = 0.000
0.000 + 3.25x + x2 = 0 + -3.125
3.25x + x2 = 0 + -3.125

Combine like terms: 0 + -3.125 = -3.125
3.25x + x2 = -3.125

The x term is 3.25x.  Take half its coefficient (1.625).
Square it (2.640625) and add it to both sides.

Add '2.640625' to each side of the equation.
3.25x + 2.640625 + x2 = -3.125 + 2.640625

Reorder the terms:
2.640625 + 3.25x + x2 = -3.125 + 2.640625

Combine like terms: -3.125 + 2.640625 = -0.484375
2.640625 + 3.25x + x2 = -0.484375

Factor a perfect square on the left side:
(x + 1.625)(x + 1.625) = -0.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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