6.5x^2-62.5x+2104=0

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Solution for 6.5x^2-62.5x+2104=0 equation:


Simplifying
6.5x2 + -62.5x + 2104 = 0

Reorder the terms:
2104 + -62.5x + 6.5x2 = 0

Solving
2104 + -62.5x + 6.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '6.5'.
323.6923077 + -9.615384615x + x2 = 0

Move the constant term to the right:

Add '-323.6923077' to each side of the equation.
323.6923077 + -9.615384615x + -323.6923077 + x2 = 0 + -323.6923077

Reorder the terms:
323.6923077 + -323.6923077 + -9.615384615x + x2 = 0 + -323.6923077

Combine like terms: 323.6923077 + -323.6923077 = 0.0000000
0.0000000 + -9.615384615x + x2 = 0 + -323.6923077
-9.615384615x + x2 = 0 + -323.6923077

Combine like terms: 0 + -323.6923077 = -323.6923077
-9.615384615x + x2 = -323.6923077

The x term is -9.615384615x.  Take half its coefficient (-4.807692308).
Square it (23.11390533) and add it to both sides.

Add '23.11390533' to each side of the equation.
-9.615384615x + 23.11390533 + x2 = -323.6923077 + 23.11390533

Reorder the terms:
23.11390533 + -9.615384615x + x2 = -323.6923077 + 23.11390533

Combine like terms: -323.6923077 + 23.11390533 = -300.57840237
23.11390533 + -9.615384615x + x2 = -300.57840237

Factor a perfect square on the left side:
(x + -4.807692308)(x + -4.807692308) = -300.57840237

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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