(2a^2+3a+14)=0

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Solution for (2a^2+3a+14)=0 equation:


Simplifying
(2a2 + 3a + 14) = 0

Reorder the terms:
(14 + 3a + 2a2) = 0

Remove parenthesis around (14 + 3a + 2a2)
14 + 3a + 2a2 = 0

Solving
14 + 3a + 2a2 = 0

Solving for variable 'a'.

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

Divide each side by '2'.
7 + 1.5a + a2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 1.5a + -7 + a2 = 0 + -7

Reorder the terms:
7 + -7 + 1.5a + a2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 1.5a + a2 = 0 + -7
1.5a + a2 = 0 + -7

Combine like terms: 0 + -7 = -7
1.5a + a2 = -7

The a term is 1.5a.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5a + 0.5625 + a2 = -7 + 0.5625

Reorder the terms:
0.5625 + 1.5a + a2 = -7 + 0.5625

Combine like terms: -7 + 0.5625 = -6.4375
0.5625 + 1.5a + a2 = -6.4375

Factor a perfect square on the left side:
(a + 0.75)(a + 0.75) = -6.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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