6a^2=-10-5a

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Solution for 6a^2=-10-5a equation: 


Simplifying
6a2 = -10 + -5a

Solving
6a2 = -10 + -5a

Solving for variable 'a'.

Reorder the terms:
10 + 5a + 6a2 = -10 + -5a + 10 + 5a

Reorder the terms:
10 + 5a + 6a2 = -10 + 10 + -5a + 5a

Combine like terms: -10 + 10 = 0
10 + 5a + 6a2 = 0 + -5a + 5a
10 + 5a + 6a2 = -5a + 5a

Combine like terms: -5a + 5a = 0
10 + 5a + 6a2 = 0

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

Divide each side by '6'.
1.666666667 + 0.8333333333a + a2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 0.8333333333a + -1.666666667 + a2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 0.8333333333a + a2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 0.8333333333a + a2 = 0 + -1.666666667
0.8333333333a + a2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
0.8333333333a + a2 = -1.666666667

The a term is 0.8333333333a.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333a + 0.1736111111 + a2 = -1.666666667 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333a + a2 = -1.666666667 + 0.1736111111

Combine like terms: -1.666666667 + 0.1736111111 = -1.4930555559
0.1736111111 + 0.8333333333a + a2 = -1.4930555559

Factor a perfect square on the left side:
(a + 0.4166666667)(a + 0.4166666667) = -1.4930555559

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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