x^2+x-1=16x^2+9

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Solution for x^2+x-1=16x^2+9 equation: 


Simplifying
x2 + x + -1 = 16x2 + 9

Reorder the terms:
-1 + x + x2 = 16x2 + 9

Reorder the terms:
-1 + x + x2 = 9 + 16x2

Solving
-1 + x + x2 = 9 + 16x2

Solving for variable 'x'.

Reorder the terms:
-1 + -9 + x + x2 + -16x2 = 9 + 16x2 + -9 + -16x2

Combine like terms: -1 + -9 = -10
-10 + x + x2 + -16x2 = 9 + 16x2 + -9 + -16x2

Combine like terms: x2 + -16x2 = -15x2
-10 + x + -15x2 = 9 + 16x2 + -9 + -16x2

Reorder the terms:
-10 + x + -15x2 = 9 + -9 + 16x2 + -16x2

Combine like terms: 9 + -9 = 0
-10 + x + -15x2 = 0 + 16x2 + -16x2
-10 + x + -15x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-10 + x + -15x2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.6666666667 + -0.06666666667x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.06666666667x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.06666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.06666666667x + x2 = 0 + -0.6666666667
-0.06666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.06666666667x + x2 = -0.6666666667

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.06666666667x + 0.25 + x2 = -0.6666666667 + 0.25

Reorder the terms:
0.25 + -0.06666666667x + x2 = -0.6666666667 + 0.25

Combine like terms: -0.6666666667 + 0.25 = -0.4166666667
0.25 + -0.06666666667x + x2 = -0.4166666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.4166666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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