2a^2+5a+18=0

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Solution for 2a^2+5a+18=0 equation:


Simplifying
2a2 + 5a + 18 = 0

Reorder the terms:
18 + 5a + 2a2 = 0

Solving
18 + 5a + 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'.
9 + 2.5a + a2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 2.5a + -9 + a2 = 0 + -9

Reorder the terms:
9 + -9 + 2.5a + a2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2.5a + a2 = 0 + -9
2.5a + a2 = 0 + -9

Combine like terms: 0 + -9 = -9
2.5a + a2 = -9

The a term is 2.5a.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5a + 1.5625 + a2 = -9 + 1.5625

Reorder the terms:
1.5625 + 2.5a + a2 = -9 + 1.5625

Combine like terms: -9 + 1.5625 = -7.4375
1.5625 + 2.5a + a2 = -7.4375

Factor a perfect square on the left side:
(a + 1.25)(a + 1.25) = -7.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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