(x)=7x^2+19-6

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Solution for (x)=7x^2+19-6 equation:


Simplifying
(x) = 7x2 + 19 + -6
x = 7x2 + 19 + -6

Reorder the terms:
x = 19 + -6 + 7x2

Combine like terms: 19 + -6 = 13
x = 13 + 7x2

Solving
x = 13 + 7x2

Solving for variable 'x'.

Reorder the terms:
-13 + x + -7x2 = 13 + 7x2 + -13 + -7x2

Reorder the terms:
-13 + x + -7x2 = 13 + -13 + 7x2 + -7x2

Combine like terms: 13 + -13 = 0
-13 + x + -7x2 = 0 + 7x2 + -7x2
-13 + x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-13 + x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
1.857142857 + -0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-1.857142857' to each side of the equation.
1.857142857 + -0.1428571429x + -1.857142857 + x2 = 0 + -1.857142857

Reorder the terms:
1.857142857 + -1.857142857 + -0.1428571429x + x2 = 0 + -1.857142857

Combine like terms: 1.857142857 + -1.857142857 = 0.000000000
0.000000000 + -0.1428571429x + x2 = 0 + -1.857142857
-0.1428571429x + x2 = 0 + -1.857142857

Combine like terms: 0 + -1.857142857 = -1.857142857
-0.1428571429x + x2 = -1.857142857

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.
-0.1428571429x + 0.25 + x2 = -1.857142857 + 0.25

Reorder the terms:
0.25 + -0.1428571429x + x2 = -1.857142857 + 0.25

Combine like terms: -1.857142857 + 0.25 = -1.607142857
0.25 + -0.1428571429x + x2 = -1.607142857

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.607142857

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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