12x^2-2x*3=-1

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Solution for 12x^2-2x*3=-1 equation:


Simplifying
12x2 + -2x * 3 = -1

Reorder the terms for easier multiplication:
12x2 + -2 * 3x = -1

Multiply -2 * 3
12x2 + -6x = -1

Reorder the terms:
-6x + 12x2 = -1

Solving
-6x + 12x2 = -1

Solving for variable 'x'.

Reorder the terms:
1 + -6x + 12x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -6x + 12x2 = 0

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

Divide each side by '12'.
0.08333333333 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.08333333333' to each side of the equation.
0.08333333333 + -0.5x + -0.08333333333 + x2 = 0 + -0.08333333333

Reorder the terms:
0.08333333333 + -0.08333333333 + -0.5x + x2 = 0 + -0.08333333333

Combine like terms: 0.08333333333 + -0.08333333333 = 0.00000000000
0.00000000000 + -0.5x + x2 = 0 + -0.08333333333
-0.5x + x2 = 0 + -0.08333333333

Combine like terms: 0 + -0.08333333333 = -0.08333333333
-0.5x + x2 = -0.08333333333

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.08333333333 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.08333333333 + 0.0625

Combine like terms: -0.08333333333 + 0.0625 = -0.02083333333
0.0625 + -0.5x + x2 = -0.02083333333

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.02083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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