(8x^2+5x+7)-(5x^2+8x-6)=

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Solution for (8x^2+5x+7)-(5x^2+8x-6)= equation: 


Simplifying
(8x2 + 5x + 7) + -1(5x2 + 8x + -6) = 0

Reorder the terms:
(7 + 5x + 8x2) + -1(5x2 + 8x + -6) = 0

Remove parenthesis around (7 + 5x + 8x2)
7 + 5x + 8x2 + -1(5x2 + 8x + -6) = 0

Reorder the terms:
7 + 5x + 8x2 + -1(-6 + 8x + 5x2) = 0
7 + 5x + 8x2 + (-6 * -1 + 8x * -1 + 5x2 * -1) = 0
7 + 5x + 8x2 + (6 + -8x + -5x2) = 0

Reorder the terms:
7 + 6 + 5x + -8x + 8x2 + -5x2 = 0

Combine like terms: 7 + 6 = 13
13 + 5x + -8x + 8x2 + -5x2 = 0

Combine like terms: 5x + -8x = -3x
13 + -3x + 8x2 + -5x2 = 0

Combine like terms: 8x2 + -5x2 = 3x2
13 + -3x + 3x2 = 0

Solving
13 + -3x + 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'.
4.333333333 + -1x + x2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + -1x + -4.333333333 + x2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + -1x + x2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + -1x + x2 = 0 + -4.333333333
-1x + x2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
-1x + x2 = -4.333333333

The x term is -1x.  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.
-1x + 0.25 + x2 = -4.333333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -4.333333333 + 0.25

Combine like terms: -4.333333333 + 0.25 = -4.083333333
0.25 + -1x + x2 = -4.083333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -4.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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