32+5x+4.9x^2=0

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Solution for 32+5x+4.9x^2=0 equation:


Simplifying
32 + 5x + 4.9x2 = 0

Solving
32 + 5x + 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'.
6.530612245 + 1.020408163x + x2 = 0

Move the constant term to the right:

Add '-6.530612245' to each side of the equation.
6.530612245 + 1.020408163x + -6.530612245 + x2 = 0 + -6.530612245

Reorder the terms:
6.530612245 + -6.530612245 + 1.020408163x + x2 = 0 + -6.530612245

Combine like terms: 6.530612245 + -6.530612245 = 0.000000000
0.000000000 + 1.020408163x + x2 = 0 + -6.530612245
1.020408163x + x2 = 0 + -6.530612245

Combine like terms: 0 + -6.530612245 = -6.530612245
1.020408163x + x2 = -6.530612245

The x term is 1.020408163x.  Take half its coefficient (0.5102040815).
Square it (0.2603082048) and add it to both sides.

Add '0.2603082048' to each side of the equation.
1.020408163x + 0.2603082048 + x2 = -6.530612245 + 0.2603082048

Reorder the terms:
0.2603082048 + 1.020408163x + x2 = -6.530612245 + 0.2603082048

Combine like terms: -6.530612245 + 0.2603082048 = -6.2703040402
0.2603082048 + 1.020408163x + x2 = -6.2703040402

Factor a perfect square on the left side:
(x + 0.5102040815)(x + 0.5102040815) = -6.2703040402

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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