-2(a^2-3a+30)=0

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Solution for -2(a^2-3a+30)=0 equation: 


Simplifying
-2(a2 + -3a + 30) = 0

Reorder the terms:
-2(30 + -3a + a2) = 0
(30 * -2 + -3a * -2 + a2 * -2) = 0
(-60 + 6a + -2a2) = 0

Solving
-60 + 6a + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + 3a + -1a2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-30 + 3a + -1a2)' equal to zero and attempt to solve:

Simplifying
-30 + 3a + -1a2 = 0

Solving
-30 + 3a + -1a2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
30 + -3a + a2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -3a + -30 + a2 = 0 + -30

Reorder the terms:
30 + -30 + -3a + a2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -3a + a2 = 0 + -30
-3a + a2 = 0 + -30

Combine like terms: 0 + -30 = -30
-3a + a2 = -30

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 = -30 + 2.25

Reorder the terms:
2.25 + -3a + a2 = -30 + 2.25

Combine like terms: -30 + 2.25 = -27.75
2.25 + -3a + a2 = -27.75

Factor a perfect square on the left side:
(a + -1.5)(a + -1.5) = -27.75

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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