45x^2-64x+48=0

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Solution for 45x^2-64x+48=0 equation:


Simplifying
45x2 + -64x + 48 = 0

Reorder the terms:
48 + -64x + 45x2 = 0

Solving
48 + -64x + 45x2 = 0

Solving for variable 'x'.

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

Divide each side by '45'.
1.066666667 + -1.422222222x + x2 = 0

Move the constant term to the right:

Add '-1.066666667' to each side of the equation.
1.066666667 + -1.422222222x + -1.066666667 + x2 = 0 + -1.066666667

Reorder the terms:
1.066666667 + -1.066666667 + -1.422222222x + x2 = 0 + -1.066666667

Combine like terms: 1.066666667 + -1.066666667 = 0.000000000
0.000000000 + -1.422222222x + x2 = 0 + -1.066666667
-1.422222222x + x2 = 0 + -1.066666667

Combine like terms: 0 + -1.066666667 = -1.066666667
-1.422222222x + x2 = -1.066666667

The x term is -1.422222222x.  Take half its coefficient (-0.711111111).
Square it (0.5056790122) and add it to both sides.

Add '0.5056790122' to each side of the equation.
-1.422222222x + 0.5056790122 + x2 = -1.066666667 + 0.5056790122

Reorder the terms:
0.5056790122 + -1.422222222x + x2 = -1.066666667 + 0.5056790122

Combine like terms: -1.066666667 + 0.5056790122 = -0.5609876548
0.5056790122 + -1.422222222x + x2 = -0.5609876548

Factor a perfect square on the left side:
(x + -0.711111111)(x + -0.711111111) = -0.5609876548

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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