7x^2-15x+28=0

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Solution for 7x^2-15x+28=0 equation:


Simplifying
7x2 + -15x + 28 = 0

Reorder the terms:
28 + -15x + 7x2 = 0

Solving
28 + -15x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
4 + -2.142857143x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2.142857143x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -2.142857143x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2.142857143x + x2 = 0 + -4
-2.142857143x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2.142857143x + x2 = -4

The x term is -2.142857143x.  Take half its coefficient (-1.071428572).
Square it (1.147959185) and add it to both sides.

Add '1.147959185' to each side of the equation.
-2.142857143x + 1.147959185 + x2 = -4 + 1.147959185

Reorder the terms:
1.147959185 + -2.142857143x + x2 = -4 + 1.147959185

Combine like terms: -4 + 1.147959185 = -2.852040815
1.147959185 + -2.142857143x + x2 = -2.852040815

Factor a perfect square on the left side:
(x + -1.071428572)(x + -1.071428572) = -2.852040815

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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