3x-3(x-3)=2x-1*2x(2x-1)

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Solution for 3x-3(x-3)=2x-1*2x(2x-1) equation:


Simplifying
3x + -3(x + -3) = 2x + -1 * 2x(2x + -1)

Reorder the terms:
3x + -3(-3 + x) = 2x + -1 * 2x(2x + -1)
3x + (-3 * -3 + x * -3) = 2x + -1 * 2x(2x + -1)
3x + (9 + -3x) = 2x + -1 * 2x(2x + -1)

Reorder the terms:
9 + 3x + -3x = 2x + -1 * 2x(2x + -1)

Combine like terms: 3x + -3x = 0
9 + 0 = 2x + -1 * 2x(2x + -1)
9 = 2x + -1 * 2x(2x + -1)

Reorder the terms:
9 = 2x + -1 * 2x(-1 + 2x)

Multiply -1 * 2
9 = 2x + -2x(-1 + 2x)
9 = 2x + (-1 * -2x + 2x * -2x)
9 = 2x + (2x + -4x2)

Combine like terms: 2x + 2x = 4x
9 = 4x + -4x2

Solving
9 = 4x + -4x2

Solving for variable 'x'.

Reorder the terms:
9 + -4x + 4x2 = 4x + -4x + -4x2 + 4x2

Combine like terms: 4x + -4x = 0
9 + -4x + 4x2 = 0 + -4x2 + 4x2
9 + -4x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
9 + -4x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
2.25 + -1x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -1x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -1x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -1x + x2 = 0 + -2.25
-1x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-1x + x2 = -2.25

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.25 + 0.25

Combine like terms: -2.25 + 0.25 = -2
0.25 + -1x + x2 = -2

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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