6x^2-2x+36=5x+10

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Solution for 6x^2-2x+36=5x+10 equation: 


Simplifying
6x2 + -2x + 36 = 5x + 10

Reorder the terms:
36 + -2x + 6x2 = 5x + 10

Reorder the terms:
36 + -2x + 6x2 = 10 + 5x

Solving
36 + -2x + 6x2 = 10 + 5x

Solving for variable 'x'.

Reorder the terms:
36 + -10 + -2x + -5x + 6x2 = 10 + 5x + -10 + -5x

Combine like terms: 36 + -10 = 26
26 + -2x + -5x + 6x2 = 10 + 5x + -10 + -5x

Combine like terms: -2x + -5x = -7x
26 + -7x + 6x2 = 10 + 5x + -10 + -5x

Reorder the terms:
26 + -7x + 6x2 = 10 + -10 + 5x + -5x

Combine like terms: 10 + -10 = 0
26 + -7x + 6x2 = 0 + 5x + -5x
26 + -7x + 6x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
26 + -7x + 6x2 = 0

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

Divide each side by '6'.
4.333333333 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + -1.166666667x + -4.333333333 + x2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + -1.166666667x + x2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + -1.166666667x + x2 = 0 + -4.333333333
-1.166666667x + x2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
-1.166666667x + x2 = -4.333333333

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 = -4.333333333 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -4.333333333 + 0.3402777780

Combine like terms: -4.333333333 + 0.3402777780 = -3.993055555
0.3402777780 + -1.166666667x + x2 = -3.993055555

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -3.993055555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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