5(x+2)-2x(3x-1)=13

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Solution for 5(x+2)-2x(3x-1)=13 equation: 


Simplifying
5(x + 2) + -2x(3x + -1) = 13

Reorder the terms:
5(2 + x) + -2x(3x + -1) = 13
(2 * 5 + x * 5) + -2x(3x + -1) = 13
(10 + 5x) + -2x(3x + -1) = 13

Reorder the terms:
10 + 5x + -2x(-1 + 3x) = 13
10 + 5x + (-1 * -2x + 3x * -2x) = 13
10 + 5x + (2x + -6x2) = 13

Combine like terms: 5x + 2x = 7x
10 + 7x + -6x2 = 13

Solving
10 + 7x + -6x2 = 13

Solving for variable 'x'.

Reorder the terms:
10 + -13 + 7x + -6x2 = 13 + -13

Combine like terms: 10 + -13 = -3
-3 + 7x + -6x2 = 13 + -13

Combine like terms: 13 + -13 = 0
-3 + 7x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
0.5 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.166666667x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.166666667x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.166666667x + x2 = 0 + -0.5
-1.166666667x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.166666667x + x2 = -0.5

The x term is -1.166666667x.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667x + 0.3402777780 + x2 = -0.5 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -0.5 + 0.3402777780

Combine like terms: -0.5 + 0.3402777780 = -0.159722222
0.3402777780 + -1.166666667x + x2 = -0.159722222

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -0.159722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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