4.9x^2-37x+115=0

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Solution for 4.9x^2-37x+115=0 equation:


Simplifying
4.9x2 + -37x + 115 = 0

Reorder the terms:
115 + -37x + 4.9x2 = 0

Solving
115 + -37x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
23.46938776 + -7.551020408x + x2 = 0

Move the constant term to the right:

Add '-23.46938776' to each side of the equation.
23.46938776 + -7.551020408x + -23.46938776 + x2 = 0 + -23.46938776

Reorder the terms:
23.46938776 + -23.46938776 + -7.551020408x + x2 = 0 + -23.46938776

Combine like terms: 23.46938776 + -23.46938776 = 0.00000000
0.00000000 + -7.551020408x + x2 = 0 + -23.46938776
-7.551020408x + x2 = 0 + -23.46938776

Combine like terms: 0 + -23.46938776 = -23.46938776
-7.551020408x + x2 = -23.46938776

The x term is -7.551020408x.  Take half its coefficient (-3.775510204).
Square it (14.25447730) and add it to both sides.

Add '14.25447730' to each side of the equation.
-7.551020408x + 14.25447730 + x2 = -23.46938776 + 14.25447730

Reorder the terms:
14.25447730 + -7.551020408x + x2 = -23.46938776 + 14.25447730

Combine like terms: -23.46938776 + 14.25447730 = -9.21491046
14.25447730 + -7.551020408x + x2 = -9.21491046

Factor a perfect square on the left side:
(x + -3.775510204)(x + -3.775510204) = -9.21491046

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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