6x^2-9x+16=4x+6

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Solution for 6x^2-9x+16=4x+6 equation: 


Simplifying
6x2 + -9x + 16 = 4x + 6

Reorder the terms:
16 + -9x + 6x2 = 4x + 6

Reorder the terms:
16 + -9x + 6x2 = 6 + 4x

Solving
16 + -9x + 6x2 = 6 + 4x

Solving for variable 'x'.

Reorder the terms:
16 + -6 + -9x + -4x + 6x2 = 6 + 4x + -6 + -4x

Combine like terms: 16 + -6 = 10
10 + -9x + -4x + 6x2 = 6 + 4x + -6 + -4x

Combine like terms: -9x + -4x = -13x
10 + -13x + 6x2 = 6 + 4x + -6 + -4x

Reorder the terms:
10 + -13x + 6x2 = 6 + -6 + 4x + -4x

Combine like terms: 6 + -6 = 0
10 + -13x + 6x2 = 0 + 4x + -4x
10 + -13x + 6x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -13x + 6x2 = 0

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

Divide each side by '6'.
1.666666667 + -2.166666667x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -2.166666667x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -2.166666667x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -2.166666667x + x2 = 0 + -1.666666667
-2.166666667x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-2.166666667x + x2 = -1.666666667

The x term is -2.166666667x.  Take half its coefficient (-1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
-2.166666667x + 1.173611113 + x2 = -1.666666667 + 1.173611113

Reorder the terms:
1.173611113 + -2.166666667x + x2 = -1.666666667 + 1.173611113

Combine like terms: -1.666666667 + 1.173611113 = -0.493055554
1.173611113 + -2.166666667x + x2 = -0.493055554

Factor a perfect square on the left side:
(x + -1.083333334)(x + -1.083333334) = -0.493055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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