(3x-1)*(-x)=30

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Solution for (3x-1)*(-x)=30 equation:


Simplifying
(3x + -1)(-1x) = 30

Reorder the terms:
(-1 + 3x)(-1x) = 30

Remove parenthesis around (-1x)
(-1 + 3x) * -1x = 30

Reorder the terms for easier multiplication:
-1x(-1 + 3x) = 30
(-1 * -1x + 3x * -1x) = 30
(1x + -3x2) = 30

Solving
1x + -3x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + 1x + -3x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 1x + -3x2 = 0

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

Divide each side by '-3'.
10 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -0.3333333333x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -0.3333333333x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -0.3333333333x + x2 = 0 + -10
-0.3333333333x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-0.3333333333x + x2 = -10

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -10 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -10 + 0.02777777779

Combine like terms: -10 + 0.02777777779 = -9.97222222221
0.02777777779 + -0.3333333333x + x2 = -9.97222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -9.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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