42x^2-13x+42=0

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Solution for 42x^2-13x+42=0 equation:


Simplifying
42x2 + -13x + 42 = 0

Reorder the terms:
42 + -13x + 42x2 = 0

Solving
42 + -13x + 42x2 = 0

Solving for variable 'x'.

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

Divide each side by '42'.
1 + -0.3095238095x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.3095238095x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.3095238095x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.3095238095x + x2 = 0 + -1
-0.3095238095x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.3095238095x + x2 = -1

The x term is -0.3095238095x.  Take half its coefficient (-0.1547619048).
Square it (0.02395124718) and add it to both sides.

Add '0.02395124718' to each side of the equation.
-0.3095238095x + 0.02395124718 + x2 = -1 + 0.02395124718

Reorder the terms:
0.02395124718 + -0.3095238095x + x2 = -1 + 0.02395124718

Combine like terms: -1 + 0.02395124718 = -0.97604875282
0.02395124718 + -0.3095238095x + x2 = -0.97604875282

Factor a perfect square on the left side:
(x + -0.1547619048)(x + -0.1547619048) = -0.97604875282

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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