x^2-3x=-18

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Solution for x^2-3x=-18 equation:


Simplifying
x2 + -3x = -18

Reorder the terms:
-3x + x2 = -18

Solving
-3x + x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + -3x + x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -3x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + -3x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -3x + x2 = 0 + -18
-3x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-3x + x2 = -18

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 = -18 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -18 + 2.25

Combine like terms: -18 + 2.25 = -15.75
2.25 + -3x + x2 = -15.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -15.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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