9x^2+21x=8x^2-116.867

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Solution for 9x^2+21x=8x^2-116.867 equation:


Simplifying
9x2 + 21x = 8x2 + -116.867

Reorder the terms:
21x + 9x2 = 8x2 + -116.867

Reorder the terms:
21x + 9x2 = -116.867 + 8x2

Solving
21x + 9x2 = -116.867 + 8x2

Solving for variable 'x'.

Reorder the terms:
116.867 + 21x + 9x2 + -8x2 = -116.867 + 8x2 + 116.867 + -8x2

Combine like terms: 9x2 + -8x2 = 1x2
116.867 + 21x + 1x2 = -116.867 + 8x2 + 116.867 + -8x2

Reorder the terms:
116.867 + 21x + 1x2 = -116.867 + 116.867 + 8x2 + -8x2

Combine like terms: -116.867 + 116.867 = 0.000
116.867 + 21x + 1x2 = 0.000 + 8x2 + -8x2
116.867 + 21x + 1x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
116.867 + 21x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-116.867' to each side of the equation.
116.867 + 21x + -116.867 + x2 = 0 + -116.867

Reorder the terms:
116.867 + -116.867 + 21x + x2 = 0 + -116.867

Combine like terms: 116.867 + -116.867 = 0.000
0.000 + 21x + x2 = 0 + -116.867
21x + x2 = 0 + -116.867

Combine like terms: 0 + -116.867 = -116.867
21x + x2 = -116.867

The x term is 21x.  Take half its coefficient (10.5).
Square it (110.25) and add it to both sides.

Add '110.25' to each side of the equation.
21x + 110.25 + x2 = -116.867 + 110.25

Reorder the terms:
110.25 + 21x + x2 = -116.867 + 110.25

Combine like terms: -116.867 + 110.25 = -6.617
110.25 + 21x + x2 = -6.617

Factor a perfect square on the left side:
(x + 10.5)(x + 10.5) = -6.617

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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