9x^2+4x+7=3x^2-8

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Solution for 9x^2+4x+7=3x^2-8 equation: 


Simplifying
9x2 + 4x + 7 = 3x2 + -8

Reorder the terms:
7 + 4x + 9x2 = 3x2 + -8

Reorder the terms:
7 + 4x + 9x2 = -8 + 3x2

Solving
7 + 4x + 9x2 = -8 + 3x2

Solving for variable 'x'.

Reorder the terms:
7 + 8 + 4x + 9x2 + -3x2 = -8 + 3x2 + 8 + -3x2

Combine like terms: 7 + 8 = 15
15 + 4x + 9x2 + -3x2 = -8 + 3x2 + 8 + -3x2

Combine like terms: 9x2 + -3x2 = 6x2
15 + 4x + 6x2 = -8 + 3x2 + 8 + -3x2

Reorder the terms:
15 + 4x + 6x2 = -8 + 8 + 3x2 + -3x2

Combine like terms: -8 + 8 = 0
15 + 4x + 6x2 = 0 + 3x2 + -3x2
15 + 4x + 6x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
15 + 4x + 6x2 = 0

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

Divide each side by '6'.
2.5 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 0.6666666667x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 0.6666666667x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.6666666667x + x2 = 0 + -2.5
0.6666666667x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
0.6666666667x + x2 = -2.5

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -2.5 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -2.5 + 0.1111111112

Combine like terms: -2.5 + 0.1111111112 = -2.3888888888
0.1111111112 + 0.6666666667x + x2 = -2.3888888888

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -2.3888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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