a^2+3a+88=

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Solution for a^2+3a+88= equation:


Simplifying
a2 + 3a + 88 = 0

Reorder the terms:
88 + 3a + a2 = 0

Solving
88 + 3a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-88' to each side of the equation.
88 + 3a + -88 + a2 = 0 + -88

Reorder the terms:
88 + -88 + 3a + a2 = 0 + -88

Combine like terms: 88 + -88 = 0
0 + 3a + a2 = 0 + -88
3a + a2 = 0 + -88

Combine like terms: 0 + -88 = -88
3a + a2 = -88

The a term is 3a.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3a + 2.25 + a2 = -88 + 2.25

Reorder the terms:
2.25 + 3a + a2 = -88 + 2.25

Combine like terms: -88 + 2.25 = -85.75
2.25 + 3a + a2 = -85.75

Factor a perfect square on the left side:
(a + 1.5)(a + 1.5) = -85.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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