-23x(-2+6x)=12

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Solution for -23x(-2+6x)=12 equation:


Simplifying
-23x(-2 + 6x) = 12
(-2 * -23x + 6x * -23x) = 12
(46x + -138x2) = 12

Solving
46x + -138x2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + 46x + -138x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 46x + -138x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 23x + -69x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + 23x + -69x2)' equal to zero and attempt to solve:

Simplifying
-6 + 23x + -69x2 = 0

Solving
-6 + 23x + -69x2 = 0

Begin completing the square.  Divide all terms by
-69 the coefficient of the squared term: 

Divide each side by '-69'.
0.08695652174 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.08695652174' to each side of the equation.
0.08695652174 + -0.3333333333x + -0.08695652174 + x2 = 0 + -0.08695652174

Reorder the terms:
0.08695652174 + -0.08695652174 + -0.3333333333x + x2 = 0 + -0.08695652174

Combine like terms: 0.08695652174 + -0.08695652174 = 0.00000000000
0.00000000000 + -0.3333333333x + x2 = 0 + -0.08695652174
-0.3333333333x + x2 = 0 + -0.08695652174

Combine like terms: 0 + -0.08695652174 = -0.08695652174
-0.3333333333x + x2 = -0.08695652174

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.08695652174 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.08695652174 + 0.02777777779

Combine like terms: -0.08695652174 + 0.02777777779 = -0.05917874395
0.02777777779 + -0.3333333333x + x2 = -0.05917874395

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.05917874395

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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