2x-3x*12x=100

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Solution for 2x-3x*12x=100 equation: 


Simplifying
2x + -3x * 12x = 100

Reorder the terms for easier multiplication:
2x + -3 * 12x * x = 100

Multiply -3 * 12
2x + -36x * x = 100

Multiply x * x
2x + -36x2 = 100

Solving
2x + -36x2 = 100

Solving for variable 'x'.

Reorder the terms:
-100 + 2x + -36x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + 2x + -36x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-50 + x + -18x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-50 + x + -18x2)' equal to zero and attempt to solve:

Simplifying
-50 + x + -18x2 = 0

Solving
-50 + x + -18x2 = 0

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

Divide each side by '-18'.
2.777777778 + -0.05555555556x + x2 = 0

Move the constant term to the right:

Add '-2.777777778' to each side of the equation.
2.777777778 + -0.05555555556x + -2.777777778 + x2 = 0 + -2.777777778

Reorder the terms:
2.777777778 + -2.777777778 + -0.05555555556x + x2 = 0 + -2.777777778

Combine like terms: 2.777777778 + -2.777777778 = 0.000000000
0.000000000 + -0.05555555556x + x2 = 0 + -2.777777778
-0.05555555556x + x2 = 0 + -2.777777778

Combine like terms: 0 + -2.777777778 = -2.777777778
-0.05555555556x + x2 = -2.777777778

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.
-0.05555555556x + 0.25 + x2 = -2.777777778 + 0.25

Reorder the terms:
0.25 + -0.05555555556x + x2 = -2.777777778 + 0.25

Combine like terms: -2.777777778 + 0.25 = -2.527777778
0.25 + -0.05555555556x + x2 = -2.527777778

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.527777778

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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