a^2+10a+30=

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Solution for a^2+10a+30= equation:


Simplifying
a2 + 10a + 30 = 0

Reorder the terms:
30 + 10a + a2 = 0

Solving
30 + 10a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + 10a + -30 + a2 = 0 + -30

Reorder the terms:
30 + -30 + 10a + a2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 10a + a2 = 0 + -30
10a + a2 = 0 + -30

Combine like terms: 0 + -30 = -30
10a + a2 = -30

The a term is 10a.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10a + 25 + a2 = -30 + 25

Reorder the terms:
25 + 10a + a2 = -30 + 25

Combine like terms: -30 + 25 = -5
25 + 10a + a2 = -5

Factor a perfect square on the left side:
(a + 5)(a + 5) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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