7x-6=18x^2

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Solution for 7x-6=18x^2 equation:


Simplifying
7x + -6 = 18x2

Reorder the terms:
-6 + 7x = 18x2

Solving
-6 + 7x = 18x2

Solving for variable 'x'.

Combine like terms: 18x2 + -18x2 = 0
-6 + 7x + -18x2 = 0

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

Divide each side by '-18'.
0.3333333333 + -0.3888888889x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.3888888889x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.3888888889x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.3888888889x + x2 = 0 + -0.3333333333
-0.3888888889x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.3888888889x + x2 = -0.3333333333

The x term is -0.3888888889x.  Take half its coefficient (-0.1944444445).
Square it (0.03780864200) and add it to both sides.

Add '0.03780864200' to each side of the equation.
-0.3888888889x + 0.03780864200 + x2 = -0.3333333333 + 0.03780864200

Reorder the terms:
0.03780864200 + -0.3888888889x + x2 = -0.3333333333 + 0.03780864200

Combine like terms: -0.3333333333 + 0.03780864200 = -0.2955246913
0.03780864200 + -0.3888888889x + x2 = -0.2955246913

Factor a perfect square on the left side:
(x + -0.1944444445)(x + -0.1944444445) = -0.2955246913

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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