-11=6.4x+0.5(9.8)x^2

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Solution for -11=6.4x+0.5(9.8)x^2 equation: 


Simplifying
-11 = 6.4x + 0.5(9.8) * x2

Multiply 0.5 * 9.8
-11 = 6.4x + 4.9x2

Solving
-11 = 6.4x + 4.9x2

Solving for variable 'x'.

Reorder the terms:
-11 + -6.4x + -4.9x2 = 6.4x + -6.4x + 4.9x2 + -4.9x2

Combine like terms: 6.4x + -6.4x = 0.0
-11 + -6.4x + -4.9x2 = 0.0 + 4.9x2 + -4.9x2
-11 + -6.4x + -4.9x2 = 4.9x2 + -4.9x2

Combine like terms: 4.9x2 + -4.9x2 = 0.0
-11 + -6.4x + -4.9x2 = 0.0

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

Divide each side by '-4.9'.
2.244897959 + 1.306122449x + x2 = 0

Move the constant term to the right:

Add '-2.244897959' to each side of the equation.
2.244897959 + 1.306122449x + -2.244897959 + x2 = 0 + -2.244897959

Reorder the terms:
2.244897959 + -2.244897959 + 1.306122449x + x2 = 0 + -2.244897959

Combine like terms: 2.244897959 + -2.244897959 = 0.000000000
0.000000000 + 1.306122449x + x2 = 0 + -2.244897959
1.306122449x + x2 = 0 + -2.244897959

Combine like terms: 0 + -2.244897959 = -2.244897959
1.306122449x + x2 = -2.244897959

The x term is 1.306122449x.  Take half its coefficient (0.6530612245).
Square it (0.4264889629) and add it to both sides.

Add '0.4264889629' to each side of the equation.
1.306122449x + 0.4264889629 + x2 = -2.244897959 + 0.4264889629

Reorder the terms:
0.4264889629 + 1.306122449x + x2 = -2.244897959 + 0.4264889629

Combine like terms: -2.244897959 + 0.4264889629 = -1.8184089961
0.4264889629 + 1.306122449x + x2 = -1.8184089961

Factor a perfect square on the left side:
(x + 0.6530612245)(x + 0.6530612245) = -1.8184089961

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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