(4a+2)+(3a^2+5)=

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Solution for (4a+2)+(3a^2+5)= equation:


Simplifying
(4a + 2) + (3a2 + 5) = 0

Reorder the terms:
(2 + 4a) + (3a2 + 5) = 0

Remove parenthesis around (2 + 4a)
2 + 4a + (3a2 + 5) = 0

Reorder the terms:
2 + 4a + (5 + 3a2) = 0

Remove parenthesis around (5 + 3a2)
2 + 4a + 5 + 3a2 = 0

Reorder the terms:
2 + 5 + 4a + 3a2 = 0

Combine like terms: 2 + 5 = 7
7 + 4a + 3a2 = 0

Solving
7 + 4a + 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'.
2.333333333 + 1.333333333a + a2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 1.333333333a + -2.333333333 + a2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 1.333333333a + a2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 1.333333333a + a2 = 0 + -2.333333333
1.333333333a + a2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
1.333333333a + a2 = -2.333333333

The a term is 1.333333333a.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333a + 0.4444444442 + a2 = -2.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333a + a2 = -2.333333333 + 0.4444444442

Combine like terms: -2.333333333 + 0.4444444442 = -1.8888888888
0.4444444442 + 1.333333333a + a2 = -1.8888888888

Factor a perfect square on the left side:
(a + 0.6666666665)(a + 0.6666666665) = -1.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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