6x^2+16=x+4

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Solution for 6x^2+16=x+4 equation:


Simplifying
6x2 + 16 = x + 4

Reorder the terms:
16 + 6x2 = x + 4

Reorder the terms:
16 + 6x2 = 4 + x

Solving
16 + 6x2 = 4 + x

Solving for variable 'x'.

Reorder the terms:
16 + -4 + -1x + 6x2 = 4 + x + -4 + -1x

Combine like terms: 16 + -4 = 12
12 + -1x + 6x2 = 4 + x + -4 + -1x

Reorder the terms:
12 + -1x + 6x2 = 4 + -4 + x + -1x

Combine like terms: 4 + -4 = 0
12 + -1x + 6x2 = 0 + x + -1x
12 + -1x + 6x2 = x + -1x

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

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

Divide each side by '6'.
2 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -0.1666666667x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -0.1666666667x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.1666666667x + x2 = 0 + -2
-0.1666666667x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-0.1666666667x + x2 = -2

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -2 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -2 + 0.006944444447

Combine like terms: -2 + 0.006944444447 = -1.993055555553
0.006944444447 + -0.1666666667x + x2 = -1.993055555553

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -1.993055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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