x^2-3x=-66

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Solution for x^2-3x=-66 equation: 


Simplifying
x2 + -3x = -66

Reorder the terms:
-3x + x2 = -66

Solving
-3x + x2 = -66

Solving for variable 'x'.

Reorder the terms:
66 + -3x + x2 = -66 + 66

Combine like terms: -66 + 66 = 0
66 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-66' to each side of the equation.
66 + -3x + -66 + x2 = 0 + -66

Reorder the terms:
66 + -66 + -3x + x2 = 0 + -66

Combine like terms: 66 + -66 = 0
0 + -3x + x2 = 0 + -66
-3x + x2 = 0 + -66

Combine like terms: 0 + -66 = -66
-3x + x2 = -66

The x term is -3x.  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.
-3x + 2.25 + x2 = -66 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -66 + 2.25

Combine like terms: -66 + 2.25 = -63.75
2.25 + -3x + x2 = -63.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -63.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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