(7a^2+2a+4)-(a^2-5a-9)=

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Solution for (7a^2+2a+4)-(a^2-5a-9)= equation:


Simplifying
(7a2 + 2a + 4) + -1(a2 + -5a + -9) = 0

Reorder the terms:
(4 + 2a + 7a2) + -1(a2 + -5a + -9) = 0

Remove parenthesis around (4 + 2a + 7a2)
4 + 2a + 7a2 + -1(a2 + -5a + -9) = 0

Reorder the terms:
4 + 2a + 7a2 + -1(-9 + -5a + a2) = 0
4 + 2a + 7a2 + (-9 * -1 + -5a * -1 + a2 * -1) = 0
4 + 2a + 7a2 + (9 + 5a + -1a2) = 0

Reorder the terms:
4 + 9 + 2a + 5a + 7a2 + -1a2 = 0

Combine like terms: 4 + 9 = 13
13 + 2a + 5a + 7a2 + -1a2 = 0

Combine like terms: 2a + 5a = 7a
13 + 7a + 7a2 + -1a2 = 0

Combine like terms: 7a2 + -1a2 = 6a2
13 + 7a + 6a2 = 0

Solving
13 + 7a + 6a2 = 0

Solving for variable 'a'.

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

Divide each side by '6'.
2.166666667 + 1.166666667a + a2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + 1.166666667a + -2.166666667 + a2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + 1.166666667a + a2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + 1.166666667a + a2 = 0 + -2.166666667
1.166666667a + a2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
1.166666667a + a2 = -2.166666667

The a term is 1.166666667a.  Take half its coefficient (0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
1.166666667a + 0.3402777780 + a2 = -2.166666667 + 0.3402777780

Reorder the terms:
0.3402777780 + 1.166666667a + a2 = -2.166666667 + 0.3402777780

Combine like terms: -2.166666667 + 0.3402777780 = -1.826388889
0.3402777780 + 1.166666667a + a2 = -1.826388889

Factor a perfect square on the left side:
(a + 0.5833333335)(a + 0.5833333335) = -1.826388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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