x^2+36=3x

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Solution for x^2+36=3x equation:


Simplifying
x2 + 36 = 3x

Reorder the terms:
36 + x2 = 3x

Solving
36 + x2 = 3x

Solving for variable 'x'.

Reorder the terms:
36 + -3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
36 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -3x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -3x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -3x + x2 = 0 + -36
-3x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-3x + x2 = -36

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 = -36 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -36 + 2.25

Combine like terms: -36 + 2.25 = -33.75
2.25 + -3x + x2 = -33.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -33.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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