a^2-18a+320=0

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Solution for a^2-18a+320=0 equation:


Simplifying
a2 + -18a + 320 = 0

Reorder the terms:
320 + -18a + a2 = 0

Solving
320 + -18a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-320' to each side of the equation.
320 + -18a + -320 + a2 = 0 + -320

Reorder the terms:
320 + -320 + -18a + a2 = 0 + -320

Combine like terms: 320 + -320 = 0
0 + -18a + a2 = 0 + -320
-18a + a2 = 0 + -320

Combine like terms: 0 + -320 = -320
-18a + a2 = -320

The a term is -18a.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18a + 81 + a2 = -320 + 81

Reorder the terms:
81 + -18a + a2 = -320 + 81

Combine like terms: -320 + 81 = -239
81 + -18a + a2 = -239

Factor a perfect square on the left side:
(a + -9)(a + -9) = -239

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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