3x^2=4(3x-8)

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Solution for 3x^2=4(3x-8) equation: 


Simplifying
3x2 = 4(3x + -8)

Reorder the terms:
3x2 = 4(-8 + 3x)
3x2 = (-8 * 4 + 3x * 4)
3x2 = (-32 + 12x)

Solving
3x2 = -32 + 12x

Solving for variable 'x'.

Reorder the terms:
32 + -12x + 3x2 = -32 + 12x + 32 + -12x

Reorder the terms:
32 + -12x + 3x2 = -32 + 32 + 12x + -12x

Combine like terms: -32 + 32 = 0
32 + -12x + 3x2 = 0 + 12x + -12x
32 + -12x + 3x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
32 + -12x + 3x2 = 0

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

Divide each side by '3'.
10.66666667 + -4x + x2 = 0

Move the constant term to the right:

Add '-10.66666667' to each side of the equation.
10.66666667 + -4x + -10.66666667 + x2 = 0 + -10.66666667

Reorder the terms:
10.66666667 + -10.66666667 + -4x + x2 = 0 + -10.66666667

Combine like terms: 10.66666667 + -10.66666667 = 0.00000000
0.00000000 + -4x + x2 = 0 + -10.66666667
-4x + x2 = 0 + -10.66666667

Combine like terms: 0 + -10.66666667 = -10.66666667
-4x + x2 = -10.66666667

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -10.66666667 + 4

Reorder the terms:
4 + -4x + x2 = -10.66666667 + 4

Combine like terms: -10.66666667 + 4 = -6.66666667
4 + -4x + x2 = -6.66666667

Factor a perfect square on the left side:
(x + -2)(x + -2) = -6.66666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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