4.9x^2+6.58x+137=0

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Solution for 4.9x^2+6.58x+137=0 equation:


Simplifying
4.9x2 + 6.58x + 137 = 0

Reorder the terms:
137 + 6.58x + 4.9x2 = 0

Solving
137 + 6.58x + 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'.
27.95918367 + 1.342857143x + x2 = 0

Move the constant term to the right:

Add '-27.95918367' to each side of the equation.
27.95918367 + 1.342857143x + -27.95918367 + x2 = 0 + -27.95918367

Reorder the terms:
27.95918367 + -27.95918367 + 1.342857143x + x2 = 0 + -27.95918367

Combine like terms: 27.95918367 + -27.95918367 = 0.00000000
0.00000000 + 1.342857143x + x2 = 0 + -27.95918367
1.342857143x + x2 = 0 + -27.95918367

Combine like terms: 0 + -27.95918367 = -27.95918367
1.342857143x + x2 = -27.95918367

The x term is 1.342857143x.  Take half its coefficient (0.6714285715).
Square it (0.4508163266) and add it to both sides.

Add '0.4508163266' to each side of the equation.
1.342857143x + 0.4508163266 + x2 = -27.95918367 + 0.4508163266

Reorder the terms:
0.4508163266 + 1.342857143x + x2 = -27.95918367 + 0.4508163266

Combine like terms: -27.95918367 + 0.4508163266 = -27.5083673434
0.4508163266 + 1.342857143x + x2 = -27.5083673434

Factor a perfect square on the left side:
(x + 0.6714285715)(x + 0.6714285715) = -27.5083673434

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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