-6x^2+15x-22=0

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Solution for -6x^2+15x-22=0 equation:


Simplifying
-6x2 + 15x + -22 = 0

Reorder the terms:
-22 + 15x + -6x2 = 0

Solving
-22 + 15x + -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'.
3.666666667 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -2.5x + -3.666666667 + x2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -2.5x + x2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -2.5x + x2 = 0 + -3.666666667
-2.5x + x2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-2.5x + x2 = -3.666666667

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -3.666666667 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -3.666666667 + 1.5625

Combine like terms: -3.666666667 + 1.5625 = -2.104166667
1.5625 + -2.5x + x2 = -2.104166667

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -2.104166667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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