2x(3x-6)=3x-10

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Solution for 2x(3x-6)=3x-10 equation: 


Simplifying
2x(3x + -6) = 3x + -10

Reorder the terms:
2x(-6 + 3x) = 3x + -10
(-6 * 2x + 3x * 2x) = 3x + -10
(-12x + 6x2) = 3x + -10

Reorder the terms:
-12x + 6x2 = -10 + 3x

Solving
-12x + 6x2 = -10 + 3x

Solving for variable 'x'.

Reorder the terms:
10 + -12x + -3x + 6x2 = -10 + 3x + 10 + -3x

Combine like terms: -12x + -3x = -15x
10 + -15x + 6x2 = -10 + 3x + 10 + -3x

Reorder the terms:
10 + -15x + 6x2 = -10 + 10 + 3x + -3x

Combine like terms: -10 + 10 = 0
10 + -15x + 6x2 = 0 + 3x + -3x
10 + -15x + 6x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -15x + 6x2 = 0

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

Divide each side by '6'.
1.666666667 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -2.5x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -2.5x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -2.5x + x2 = 0 + -1.666666667
-2.5x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-2.5x + x2 = -1.666666667

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -1.666666667 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -1.666666667 + 1.5625

Combine like terms: -1.666666667 + 1.5625 = -0.104166667
1.5625 + -2.5x + x2 = -0.104166667

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -0.104166667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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