(3a^2+a+5)-(2a-5)=

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Solution for (3a^2+a+5)-(2a-5)= equation: 


Simplifying
(3a2 + a + 5) + -1(2a + -5) = 0

Reorder the terms:
(5 + a + 3a2) + -1(2a + -5) = 0

Remove parenthesis around (5 + a + 3a2)
5 + a + 3a2 + -1(2a + -5) = 0

Reorder the terms:
5 + a + 3a2 + -1(-5 + 2a) = 0
5 + a + 3a2 + (-5 * -1 + 2a * -1) = 0
5 + a + 3a2 + (5 + -2a) = 0

Reorder the terms:
5 + 5 + a + -2a + 3a2 = 0

Combine like terms: 5 + 5 = 10
10 + a + -2a + 3a2 = 0

Combine like terms: a + -2a = -1a
10 + -1a + 3a2 = 0

Solving
10 + -1a + 3a2 = 0

Solving for variable 'a'.

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

Divide each side by '3'.
3.333333333 + -0.3333333333a + a2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -0.3333333333a + -3.333333333 + a2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -0.3333333333a + a2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -0.3333333333a + a2 = 0 + -3.333333333
-0.3333333333a + a2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-0.3333333333a + a2 = -3.333333333

The a term is -0.3333333333a.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333a + 0.02777777779 + a2 = -3.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333a + a2 = -3.333333333 + 0.02777777779

Combine like terms: -3.333333333 + 0.02777777779 = -3.30555555521
0.02777777779 + -0.3333333333a + a2 = -3.30555555521

Factor a perfect square on the left side:
(a + -0.1666666667)(a + -0.1666666667) = -3.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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