12x^2+4=5x

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Solution for 12x^2+4=5x equation:


Simplifying
12x2 + 4 = 5x

Reorder the terms:
4 + 12x2 = 5x

Solving
4 + 12x2 = 5x

Solving for variable 'x'.

Reorder the terms:
4 + -5x + 12x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -5x + 12x2 = 0

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

Divide each side by '12'.
0.3333333333 + -0.4166666667x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.4166666667x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.4166666667x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.4166666667x + x2 = 0 + -0.3333333333
-0.4166666667x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.4166666667x + x2 = -0.3333333333

The x term is -0.4166666667x.  Take half its coefficient (-0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
-0.4166666667x + 0.04340277781 + x2 = -0.3333333333 + 0.04340277781

Reorder the terms:
0.04340277781 + -0.4166666667x + x2 = -0.3333333333 + 0.04340277781

Combine like terms: -0.3333333333 + 0.04340277781 = -0.28993055549
0.04340277781 + -0.4166666667x + x2 = -0.28993055549

Factor a perfect square on the left side:
(x + -0.2083333334)(x + -0.2083333334) = -0.28993055549

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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