5-3(x-1)x=7

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Solution for 5-3(x-1)x=7 equation: 


Simplifying
5 + -3(x + -1) * x = 7

Reorder the terms:
5 + -3(-1 + x) * x = 7

Reorder the terms for easier multiplication:
5 + -3x(-1 + x) = 7
5 + (-1 * -3x + x * -3x) = 7
5 + (3x + -3x2) = 7

Solving
5 + 3x + -3x2 = 7

Solving for variable 'x'.

Reorder the terms:
5 + -7 + 3x + -3x2 = 7 + -7

Combine like terms: 5 + -7 = -2
-2 + 3x + -3x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-2 + 3x + -3x2 = 0

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

Divide each side by '-3'.
0.6666666667 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -1x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -1x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -1x + x2 = 0 + -0.6666666667
-1x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-1x + x2 = -0.6666666667

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 = -0.6666666667 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.6666666667 + 0.25

Combine like terms: -0.6666666667 + 0.25 = -0.4166666667
0.25 + -1x + x2 = -0.4166666667

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.4166666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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