(14x^2+13x+12)-(7x^2+20x+4)=

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Solution for (14x^2+13x+12)-(7x^2+20x+4)= equation: 


Simplifying
(14x2 + 13x + 12) + -1(7x2 + 20x + 4) = 0

Reorder the terms:
(12 + 13x + 14x2) + -1(7x2 + 20x + 4) = 0

Remove parenthesis around (12 + 13x + 14x2)
12 + 13x + 14x2 + -1(7x2 + 20x + 4) = 0

Reorder the terms:
12 + 13x + 14x2 + -1(4 + 20x + 7x2) = 0
12 + 13x + 14x2 + (4 * -1 + 20x * -1 + 7x2 * -1) = 0
12 + 13x + 14x2 + (-4 + -20x + -7x2) = 0

Reorder the terms:
12 + -4 + 13x + -20x + 14x2 + -7x2 = 0

Combine like terms: 12 + -4 = 8
8 + 13x + -20x + 14x2 + -7x2 = 0

Combine like terms: 13x + -20x = -7x
8 + -7x + 14x2 + -7x2 = 0

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

Solving
8 + -7x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
1.142857143 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.142857143' to each side of the equation.
1.142857143 + -1x + -1.142857143 + x2 = 0 + -1.142857143

Reorder the terms:
1.142857143 + -1.142857143 + -1x + x2 = 0 + -1.142857143

Combine like terms: 1.142857143 + -1.142857143 = 0.000000000
0.000000000 + -1x + x2 = 0 + -1.142857143
-1x + x2 = 0 + -1.142857143

Combine like terms: 0 + -1.142857143 = -1.142857143
-1x + x2 = -1.142857143

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 = -1.142857143 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.142857143 + 0.25

Combine like terms: -1.142857143 + 0.25 = -0.892857143
0.25 + -1x + x2 = -0.892857143

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.892857143

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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