0=12x^2-3x+14

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Solution for 0=12x^2-3x+14 equation: 


Simplifying
0 = 12x2 + -3x + 14

Reorder the terms:
0 = 14 + -3x + 12x2

Solving
0 = 14 + -3x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + -14 = -14
-14 + 3x + -12x2 = 14 + -3x + 12x2 + -14 + 3x + -12x2

Reorder the terms:
-14 + 3x + -12x2 = 14 + -14 + -3x + 3x + 12x2 + -12x2

Combine like terms: 14 + -14 = 0
-14 + 3x + -12x2 = 0 + -3x + 3x + 12x2 + -12x2
-14 + 3x + -12x2 = -3x + 3x + 12x2 + -12x2

Combine like terms: -3x + 3x = 0
-14 + 3x + -12x2 = 0 + 12x2 + -12x2
-14 + 3x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-14 + 3x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
1.166666667 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + -0.25x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + -0.25x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + -0.25x + x2 = 0 + -1.166666667
-0.25x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
-0.25x + x2 = -1.166666667

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -1.166666667 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1.166666667 + 0.015625

Combine like terms: -1.166666667 + 0.015625 = -1.151041667
0.015625 + -0.25x + x2 = -1.151041667

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -1.151041667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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