8(x-2)=3x(x+2)

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Solution for 8(x-2)=3x(x+2) equation: 


Simplifying
8(x + -2) = 3x(x + 2)

Reorder the terms:
8(-2 + x) = 3x(x + 2)
(-2 * 8 + x * 8) = 3x(x + 2)
(-16 + 8x) = 3x(x + 2)

Reorder the terms:
-16 + 8x = 3x(2 + x)
-16 + 8x = (2 * 3x + x * 3x)
-16 + 8x = (6x + 3x2)

Solving
-16 + 8x = 6x + 3x2

Solving for variable 'x'.

Combine like terms: 8x + -6x = 2x
-16 + 2x + -3x2 = 6x + 3x2 + -6x + -3x2

Reorder the terms:
-16 + 2x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
-16 + 2x + -3x2 = 0 + 3x2 + -3x2
-16 + 2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-16 + 2x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
5.333333333 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + -0.6666666667x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + -0.6666666667x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -5.333333333
-0.6666666667x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
-0.6666666667x + x2 = -5.333333333

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -5.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -5.333333333 + 0.1111111112

Combine like terms: -5.333333333 + 0.1111111112 = -5.2222222218
0.1111111112 + -0.6666666667x + x2 = -5.2222222218

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -5.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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