2x-3x(4-x)=-46

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Solution for 2x-3x(4-x)=-46 equation:


Simplifying
2x + -3x(4 + -1x) = -46
2x + (4 * -3x + -1x * -3x) = -46
2x + (-12x + 3x2) = -46

Combine like terms: 2x + -12x = -10x
-10x + 3x2 = -46

Solving
-10x + 3x2 = -46

Solving for variable 'x'.

Reorder the terms:
46 + -10x + 3x2 = -46 + 46

Combine like terms: -46 + 46 = 0
46 + -10x + 3x2 = 0

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

Divide each side by '3'.
15.33333333 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-15.33333333' to each side of the equation.
15.33333333 + -3.333333333x + -15.33333333 + x2 = 0 + -15.33333333

Reorder the terms:
15.33333333 + -15.33333333 + -3.333333333x + x2 = 0 + -15.33333333

Combine like terms: 15.33333333 + -15.33333333 = 0.00000000
0.00000000 + -3.333333333x + x2 = 0 + -15.33333333
-3.333333333x + x2 = 0 + -15.33333333

Combine like terms: 0 + -15.33333333 = -15.33333333
-3.333333333x + x2 = -15.33333333

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -15.33333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -15.33333333 + 2.777777779

Combine like terms: -15.33333333 + 2.777777779 = -12.555555551
2.777777779 + -3.333333333x + x2 = -12.555555551

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -12.555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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