x^2=3(x-3)

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Solution for x^2=3(x-3) equation:


Simplifying
x2 = 3(x + -3)

Reorder the terms:
x2 = 3(-3 + x)
x2 = (-3 * 3 + x * 3)
x2 = (-9 + 3x)

Solving
x2 = -9 + 3x

Solving for variable 'x'.

Reorder the terms:
9 + -3x + x2 = -9 + 3x + 9 + -3x

Reorder the terms:
9 + -3x + x2 = -9 + 9 + 3x + -3x

Combine like terms: -9 + 9 = 0
9 + -3x + x2 = 0 + 3x + -3x
9 + -3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -3x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -3x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -3x + x2 = 0 + -9
-3x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-3x + x2 = -9

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 = -9 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -9 + 2.25

Combine like terms: -9 + 2.25 = -6.75
2.25 + -3x + x2 = -6.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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