-10x^2-3x-9=-2x

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Solution for -10x^2-3x-9=-2x equation: 


Simplifying
-10x2 + -3x + -9 = -2x

Reorder the terms:
-9 + -3x + -10x2 = -2x

Solving
-9 + -3x + -10x2 = -2x

Solving for variable 'x'.

Reorder the terms:
-9 + -3x + 2x + -10x2 = -2x + 2x

Combine like terms: -3x + 2x = -1x
-9 + -1x + -10x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + -1x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + x + 10x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(9 + x + 10x2)' equal to zero and attempt to solve:

Simplifying
9 + x + 10x2 = 0

Solving
9 + x + 10x2 = 0

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

Divide each side by '10'.
0.9 + 0.1x + x2 = 0.0

Move the constant term to the right:

Add '-0.9' to each side of the equation.
0.9 + 0.1x + -0.9 + x2 = 0.0 + -0.9

Reorder the terms:
0.9 + -0.9 + 0.1x + x2 = 0.0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.1x + x2 = 0.0 + -0.9
0.1x + x2 = 0.0 + -0.9

Combine like terms: 0.0 + -0.9 = -0.9
0.1x + x2 = -0.9

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.
0.1x + 0.25 + x2 = -0.9 + 0.25

Reorder the terms:
0.25 + 0.1x + x2 = -0.9 + 0.25

Combine like terms: -0.9 + 0.25 = -0.65
0.25 + 0.1x + x2 = -0.65

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.65

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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