49x^2+90x+4000=0

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Solution for 49x^2+90x+4000=0 equation:


Simplifying
49x2 + 90x + 4000 = 0

Reorder the terms:
4000 + 90x + 49x2 = 0

Solving
4000 + 90x + 49x2 = 0

Solving for variable 'x'.

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

Divide each side by '49'.
81.63265306 + 1.836734694x + x2 = 0

Move the constant term to the right:

Add '-81.63265306' to each side of the equation.
81.63265306 + 1.836734694x + -81.63265306 + x2 = 0 + -81.63265306

Reorder the terms:
81.63265306 + -81.63265306 + 1.836734694x + x2 = 0 + -81.63265306

Combine like terms: 81.63265306 + -81.63265306 = 0.00000000
0.00000000 + 1.836734694x + x2 = 0 + -81.63265306
1.836734694x + x2 = 0 + -81.63265306

Combine like terms: 0 + -81.63265306 = -81.63265306
1.836734694x + x2 = -81.63265306

The x term is 1.836734694x.  Take half its coefficient (0.918367347).
Square it (0.8433985840) and add it to both sides.

Add '0.8433985840' to each side of the equation.
1.836734694x + 0.8433985840 + x2 = -81.63265306 + 0.8433985840

Reorder the terms:
0.8433985840 + 1.836734694x + x2 = -81.63265306 + 0.8433985840

Combine like terms: -81.63265306 + 0.8433985840 = -80.789254476
0.8433985840 + 1.836734694x + x2 = -80.789254476

Factor a perfect square on the left side:
(x + 0.918367347)(x + 0.918367347) = -80.789254476

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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