6x^2-25x+42=0

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Solution for 6x^2-25x+42=0 equation:


Simplifying
6x2 + -25x + 42 = 0

Reorder the terms:
42 + -25x + 6x2 = 0

Solving
42 + -25x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
7 + -4.166666667x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -4.166666667x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -4.166666667x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4.166666667x + x2 = 0 + -7
-4.166666667x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-4.166666667x + x2 = -7

The x term is -4.166666667x.  Take half its coefficient (-2.083333334).
Square it (4.340277781) and add it to both sides.

Add '4.340277781' to each side of the equation.
-4.166666667x + 4.340277781 + x2 = -7 + 4.340277781

Reorder the terms:
4.340277781 + -4.166666667x + x2 = -7 + 4.340277781

Combine like terms: -7 + 4.340277781 = -2.659722219
4.340277781 + -4.166666667x + x2 = -2.659722219

Factor a perfect square on the left side:
(x + -2.083333334)(x + -2.083333334) = -2.659722219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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