4x-2*4x-2=36x^2

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Solution for 4x-2*4x-2=36x^2 equation: 


Simplifying
4x + -2 * 4x + -2 = 36x2

Multiply -2 * 4
4x + -8x + -2 = 36x2

Reorder the terms:
-2 + 4x + -8x = 36x2

Combine like terms: 4x + -8x = -4x
-2 + -4x = 36x2

Solving
-2 + -4x = 36x2

Solving for variable 'x'.

Combine like terms: 36x2 + -36x2 = 0
-2 + -4x + -36x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 2x + 18x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(1 + 2x + 18x2)' equal to zero and attempt to solve:

Simplifying
1 + 2x + 18x2 = 0

Solving
1 + 2x + 18x2 = 0

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

Divide each side by '18'.
0.05555555556 + 0.1111111111x + x2 = 0

Move the constant term to the right:

Add '-0.05555555556' to each side of the equation.
0.05555555556 + 0.1111111111x + -0.05555555556 + x2 = 0 + -0.05555555556

Reorder the terms:
0.05555555556 + -0.05555555556 + 0.1111111111x + x2 = 0 + -0.05555555556

Combine like terms: 0.05555555556 + -0.05555555556 = 0.00000000000
0.00000000000 + 0.1111111111x + x2 = 0 + -0.05555555556
0.1111111111x + x2 = 0 + -0.05555555556

Combine like terms: 0 + -0.05555555556 = -0.05555555556
0.1111111111x + x2 = -0.05555555556

The x term is 0.1111111111x.  Take half its coefficient (0.05555555555).
Square it (0.003086419752) and add it to both sides.

Add '0.003086419752' to each side of the equation.
0.1111111111x + 0.003086419752 + x2 = -0.05555555556 + 0.003086419752

Reorder the terms:
0.003086419752 + 0.1111111111x + x2 = -0.05555555556 + 0.003086419752

Combine like terms: -0.05555555556 + 0.003086419752 = -0.052469135808
0.003086419752 + 0.1111111111x + x2 = -0.052469135808

Factor a perfect square on the left side:
(x + 0.05555555555)(x + 0.05555555555) = -0.052469135808

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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