9a=-9a^2-18

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Solution for 9a=-9a^2-18 equation: 


Simplifying
9a = -9a2 + -18

Reorder the terms:
9a = -18 + -9a2

Solving
9a = -18 + -9a2

Solving for variable 'a'.

Reorder the terms:
18 + 9a + 9a2 = -18 + -9a2 + 18 + 9a2

Reorder the terms:
18 + 9a + 9a2 = -18 + 18 + -9a2 + 9a2

Combine like terms: -18 + 18 = 0
18 + 9a + 9a2 = 0 + -9a2 + 9a2
18 + 9a + 9a2 = -9a2 + 9a2

Combine like terms: -9a2 + 9a2 = 0
18 + 9a + 9a2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(2 + a + a2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(2 + a + a2)' equal to zero and attempt to solve:

Simplifying
2 + a + a2 = 0

Solving
2 + a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + a + -2 + a2 = 0 + -2

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

Combine like terms: 2 + -2 = 0
0 + a + a2 = 0 + -2
a + a2 = 0 + -2

Combine like terms: 0 + -2 = -2
a + a2 = -2

The a term is a.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
a + 0.25 + a2 = -2 + 0.25

Reorder the terms:
0.25 + a + a2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + a + a2 = -1.75

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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