(12x^2)-7x+45=0

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Solution for (12x^2)-7x+45=0 equation:


Simplifying
(12x2) + -7x + 45 = 0

Reorder the terms:
45 + -7x + (12x2) = 0

Solving
45 + -7x + (12x2) = 0

Solving for variable 'x'.

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

Divide each side by '12'.
3.75 + -0.5833333333x + x2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -0.5833333333x + -3.75 + x2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -0.5833333333x + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -0.5833333333x + x2 = 0 + -3.75
-0.5833333333x + x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-0.5833333333x + x2 = -3.75

The x term is -0.5833333333x.  Take half its coefficient (-0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
-0.5833333333x + 0.08506944446 + x2 = -3.75 + 0.08506944446

Reorder the terms:
0.08506944446 + -0.5833333333x + x2 = -3.75 + 0.08506944446

Combine like terms: -3.75 + 0.08506944446 = -3.66493055554
0.08506944446 + -0.5833333333x + x2 = -3.66493055554

Factor a perfect square on the left side:
((x) + -0.2916666667)((x) + -0.2916666667) = -3.66493055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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