22.615=21x-4.9x^2

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Solution for 22.615=21x-4.9x^2 equation: 


Simplifying
22.615 = 21x + -4.9x2

Solving
22.615 = 21x + -4.9x2

Solving for variable 'x'.

Reorder the terms:
22.615 + -21x + 4.9x2 = 21x + -21x + -4.9x2 + 4.9x2

Combine like terms: 21x + -21x = 0
22.615 + -21x + 4.9x2 = 0 + -4.9x2 + 4.9x2
22.615 + -21x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
22.615 + -21x + 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'.
4.615306122 + -4.285714286x + x2 = 0

Move the constant term to the right:

Add '-4.615306122' to each side of the equation.
4.615306122 + -4.285714286x + -4.615306122 + x2 = 0 + -4.615306122

Reorder the terms:
4.615306122 + -4.615306122 + -4.285714286x + x2 = 0 + -4.615306122

Combine like terms: 4.615306122 + -4.615306122 = 0.000000000
0.000000000 + -4.285714286x + x2 = 0 + -4.615306122
-4.285714286x + x2 = 0 + -4.615306122

Combine like terms: 0 + -4.615306122 = -4.615306122
-4.285714286x + x2 = -4.615306122

The x term is -4.285714286x.  Take half its coefficient (-2.142857143).
Square it (4.591836735) and add it to both sides.

Add '4.591836735' to each side of the equation.
-4.285714286x + 4.591836735 + x2 = -4.615306122 + 4.591836735

Reorder the terms:
4.591836735 + -4.285714286x + x2 = -4.615306122 + 4.591836735

Combine like terms: -4.615306122 + 4.591836735 = -0.023469387
4.591836735 + -4.285714286x + x2 = -0.023469387

Factor a perfect square on the left side:
(x + -2.142857143)(x + -2.142857143) = -0.023469387

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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