50=20x-4.9x^2

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Solution for 50=20x-4.9x^2 equation:


Simplifying
50 = 20x + -4.9x2

Solving
50 = 20x + -4.9x2

Solving for variable 'x'.

Reorder the terms:
50 + -20x + 4.9x2 = 20x + -20x + -4.9x2 + 4.9x2

Combine like terms: 20x + -20x = 0
50 + -20x + 4.9x2 = 0 + -4.9x2 + 4.9x2
50 + -20x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
50 + -20x + 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'.
10.20408163 + -4.081632653x + x2 = 0

Move the constant term to the right:

Add '-10.20408163' to each side of the equation.
10.20408163 + -4.081632653x + -10.20408163 + x2 = 0 + -10.20408163

Reorder the terms:
10.20408163 + -10.20408163 + -4.081632653x + x2 = 0 + -10.20408163

Combine like terms: 10.20408163 + -10.20408163 = 0.00000000
0.00000000 + -4.081632653x + x2 = 0 + -10.20408163
-4.081632653x + x2 = 0 + -10.20408163

Combine like terms: 0 + -10.20408163 = -10.20408163
-4.081632653x + x2 = -10.20408163

The x term is -4.081632653x.  Take half its coefficient (-2.040816327).
Square it (4.164931281) and add it to both sides.

Add '4.164931281' to each side of the equation.
-4.081632653x + 4.164931281 + x2 = -10.20408163 + 4.164931281

Reorder the terms:
4.164931281 + -4.081632653x + x2 = -10.20408163 + 4.164931281

Combine like terms: -10.20408163 + 4.164931281 = -6.039150349
4.164931281 + -4.081632653x + x2 = -6.039150349

Factor a perfect square on the left side:
(x + -2.040816327)(x + -2.040816327) = -6.039150349

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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