14x*14x+1=9x

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Solution for 14x*14x+1=9x equation:


Simplifying
14x * 14x + 1 = 9x

Reorder the terms for easier multiplication:
14 * 14x * x + 1 = 9x

Multiply 14 * 14
196x * x + 1 = 9x

Multiply x * x
196x2 + 1 = 9x

Reorder the terms:
1 + 196x2 = 9x

Solving
1 + 196x2 = 9x

Solving for variable 'x'.

Reorder the terms:
1 + -9x + 196x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
1 + -9x + 196x2 = 0

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

Divide each side by '196'.
0.005102040816 + -0.04591836735x + x2 = 0

Move the constant term to the right:

Add '-0.005102040816' to each side of the equation.
0.005102040816 + -0.04591836735x + -0.005102040816 + x2 = 0 + -0.005102040816

Reorder the terms:
0.005102040816 + -0.005102040816 + -0.04591836735x + x2 = 0 + -0.005102040816

Combine like terms: 0.005102040816 + -0.005102040816 = 0.000000000000
0.000000000000 + -0.04591836735x + x2 = 0 + -0.005102040816
-0.04591836735x + x2 = 0 + -0.005102040816

Combine like terms: 0 + -0.005102040816 = -0.005102040816
-0.04591836735x + x2 = -0.005102040816

The x term is -0.04591836735x.  Take half its coefficient (-0.02295918368).
Square it (0.0005271241153) and add it to both sides.

Add '0.0005271241153' to each side of the equation.
-0.04591836735x + 0.0005271241153 + x2 = -0.005102040816 + 0.0005271241153

Reorder the terms:
0.0005271241153 + -0.04591836735x + x2 = -0.005102040816 + 0.0005271241153

Combine like terms: -0.005102040816 + 0.0005271241153 = -0.0045749167007
0.0005271241153 + -0.04591836735x + x2 = -0.0045749167007

Factor a perfect square on the left side:
(x + -0.02295918368)(x + -0.02295918368) = -0.0045749167007

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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