a^2-4a+15=0

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Solution for a^2-4a+15=0 equation:


Simplifying
a2 + -4a + 15 = 0

Reorder the terms:
15 + -4a + a2 = 0

Solving
15 + -4a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -4a + -15 + a2 = 0 + -15

Reorder the terms:
15 + -15 + -4a + a2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4a + a2 = 0 + -15
-4a + a2 = 0 + -15

Combine like terms: 0 + -15 = -15
-4a + a2 = -15

The a term is -4a.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4a + 4 + a2 = -15 + 4

Reorder the terms:
4 + -4a + a2 = -15 + 4

Combine like terms: -15 + 4 = -11
4 + -4a + a2 = -11

Factor a perfect square on the left side:
(a + -2)(a + -2) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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