4x-2x(9x)=2

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Solution for 4x-2x(9x)=2 equation: 


Simplifying
4x + -2x(9x) = 2

Remove parenthesis around (9x)
4x + -2x * 9x = 2

Reorder the terms for easier multiplication:
4x + -2 * 9x * x = 2

Multiply -2 * 9
4x + -18x * x = 2

Multiply x * x
4x + -18x2 = 2

Solving
4x + -18x2 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + 4x + -18x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 4x + -18x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 2x + -9x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 2x + -9x2)' equal to zero and attempt to solve:

Simplifying
-1 + 2x + -9x2 = 0

Solving
-1 + 2x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.1111111111 + -0.2222222222x + x2 = 0

Move the constant term to the right:

Add '-0.1111111111' to each side of the equation.
0.1111111111 + -0.2222222222x + -0.1111111111 + x2 = 0 + -0.1111111111

Reorder the terms:
0.1111111111 + -0.1111111111 + -0.2222222222x + x2 = 0 + -0.1111111111

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
0.0000000000 + -0.2222222222x + x2 = 0 + -0.1111111111
-0.2222222222x + x2 = 0 + -0.1111111111

Combine like terms: 0 + -0.1111111111 = -0.1111111111
-0.2222222222x + x2 = -0.1111111111

The x term is -0.2222222222x.  Take half its coefficient (-0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
-0.2222222222x + 0.01234567901 + x2 = -0.1111111111 + 0.01234567901

Reorder the terms:
0.01234567901 + -0.2222222222x + x2 = -0.1111111111 + 0.01234567901

Combine like terms: -0.1111111111 + 0.01234567901 = -0.09876543209
0.01234567901 + -0.2222222222x + x2 = -0.09876543209

Factor a perfect square on the left side:
(x + -0.1111111111)(x + -0.1111111111) = -0.09876543209

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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