x-7=19x^2

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Solution for x-7=19x^2 equation:


Simplifying
x + -7 = 19x2

Reorder the terms:
-7 + x = 19x2

Solving
-7 + x = 19x2

Solving for variable 'x'.

Combine like terms: 19x2 + -19x2 = 0
-7 + x + -19x2 = 0

Begin completing the square.  Divide all terms by
-19 the coefficient of the squared term: 

Divide each side by '-19'.
0.3684210526 + -0.05263157895x + x2 = 0

Move the constant term to the right:

Add '-0.3684210526' to each side of the equation.
0.3684210526 + -0.05263157895x + -0.3684210526 + x2 = 0 + -0.3684210526

Reorder the terms:
0.3684210526 + -0.3684210526 + -0.05263157895x + x2 = 0 + -0.3684210526

Combine like terms: 0.3684210526 + -0.3684210526 = 0.0000000000
0.0000000000 + -0.05263157895x + x2 = 0 + -0.3684210526
-0.05263157895x + x2 = 0 + -0.3684210526

Combine like terms: 0 + -0.3684210526 = -0.3684210526
-0.05263157895x + x2 = -0.3684210526

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.
-0.05263157895x + 0.25 + x2 = -0.3684210526 + 0.25

Reorder the terms:
0.25 + -0.05263157895x + x2 = -0.3684210526 + 0.25

Combine like terms: -0.3684210526 + 0.25 = -0.1184210526
0.25 + -0.05263157895x + x2 = -0.1184210526

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.1184210526

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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