12x^2-23x+10=3x^2-35x-22

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Solution for 12x^2-23x+10=3x^2-35x-22 equation: 


Simplifying
12x2 + -23x + 10 = 3x2 + -35x + -22

Reorder the terms:
10 + -23x + 12x2 = 3x2 + -35x + -22

Reorder the terms:
10 + -23x + 12x2 = -22 + -35x + 3x2

Solving
10 + -23x + 12x2 = -22 + -35x + 3x2

Solving for variable 'x'.

Reorder the terms:
10 + 22 + -23x + 35x + 12x2 + -3x2 = -22 + -35x + 3x2 + 22 + 35x + -3x2

Combine like terms: 10 + 22 = 32
32 + -23x + 35x + 12x2 + -3x2 = -22 + -35x + 3x2 + 22 + 35x + -3x2

Combine like terms: -23x + 35x = 12x
32 + 12x + 12x2 + -3x2 = -22 + -35x + 3x2 + 22 + 35x + -3x2

Combine like terms: 12x2 + -3x2 = 9x2
32 + 12x + 9x2 = -22 + -35x + 3x2 + 22 + 35x + -3x2

Reorder the terms:
32 + 12x + 9x2 = -22 + 22 + -35x + 35x + 3x2 + -3x2

Combine like terms: -22 + 22 = 0
32 + 12x + 9x2 = 0 + -35x + 35x + 3x2 + -3x2
32 + 12x + 9x2 = -35x + 35x + 3x2 + -3x2

Combine like terms: -35x + 35x = 0
32 + 12x + 9x2 = 0 + 3x2 + -3x2
32 + 12x + 9x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
32 + 12x + 9x2 = 0

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

Divide each side by '9'.
3.555555556 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.555555556' to each side of the equation.
3.555555556 + 1.333333333x + -3.555555556 + x2 = 0 + -3.555555556

Reorder the terms:
3.555555556 + -3.555555556 + 1.333333333x + x2 = 0 + -3.555555556

Combine like terms: 3.555555556 + -3.555555556 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -3.555555556
1.333333333x + x2 = 0 + -3.555555556

Combine like terms: 0 + -3.555555556 = -3.555555556
1.333333333x + x2 = -3.555555556

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -3.555555556 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -3.555555556 + 0.4444444442

Combine like terms: -3.555555556 + 0.4444444442 = -3.1111111118
0.4444444442 + 1.333333333x + x2 = -3.1111111118

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -3.1111111118

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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