8x-9=2x+7+3x^2

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Solution for 8x-9=2x+7+3x^2 equation: 


Simplifying
8x + -9 = 2x + 7 + 3x2

Reorder the terms:
-9 + 8x = 2x + 7 + 3x2

Reorder the terms:
-9 + 8x = 7 + 2x + 3x2

Solving
-9 + 8x = 7 + 2x + 3x2

Solving for variable 'x'.

Reorder the terms:
-9 + -7 + 8x + -2x + -3x2 = 7 + 2x + 3x2 + -7 + -2x + -3x2

Combine like terms: -9 + -7 = -16
-16 + 8x + -2x + -3x2 = 7 + 2x + 3x2 + -7 + -2x + -3x2

Combine like terms: 8x + -2x = 6x
-16 + 6x + -3x2 = 7 + 2x + 3x2 + -7 + -2x + -3x2

Reorder the terms:
-16 + 6x + -3x2 = 7 + -7 + 2x + -2x + 3x2 + -3x2

Combine like terms: 7 + -7 = 0
-16 + 6x + -3x2 = 0 + 2x + -2x + 3x2 + -3x2
-16 + 6x + -3x2 = 2x + -2x + 3x2 + -3x2

Combine like terms: 2x + -2x = 0
-16 + 6x + -3x2 = 0 + 3x2 + -3x2
-16 + 6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-16 + 6x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
5.333333333 + -2x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + -2x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + -2x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + -2x + x2 = 0 + -5.333333333
-2x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
-2x + x2 = -5.333333333

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -5.333333333 + 1

Reorder the terms:
1 + -2x + x2 = -5.333333333 + 1

Combine like terms: -5.333333333 + 1 = -4.333333333
1 + -2x + x2 = -4.333333333

Factor a perfect square on the left side:
(x + -1)(x + -1) = -4.333333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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