9=0.0436431784x^2-5.768518039x+200.9516931

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Solution for 9=0.0436431784x^2-5.768518039x+200.9516931 equation:


Simplifying
9 = 0.0436431784x2 + -5.768518039x + 200.9516931

Reorder the terms:
9 = 200.9516931 + -5.768518039x + 0.0436431784x2

Solving
9 = 200.9516931 + -5.768518039x + 0.0436431784x2

Solving for variable 'x'.

Combine like terms: 9 + -200.9516931 = -191.9516931
-191.9516931 + 5.768518039x + -0.0436431784x2 = 200.9516931 + -5.768518039x + 0.0436431784x2 + -200.9516931 + 5.768518039x + -0.0436431784x2

Reorder the terms:
-191.9516931 + 5.768518039x + -0.0436431784x2 = 200.9516931 + -200.9516931 + -5.768518039x + 5.768518039x + 0.0436431784x2 + -0.0436431784x2

Combine like terms: 200.9516931 + -200.9516931 = 0.0000000
-191.9516931 + 5.768518039x + -0.0436431784x2 = 0.0000000 + -5.768518039x + 5.768518039x + 0.0436431784x2 + -0.0436431784x2
-191.9516931 + 5.768518039x + -0.0436431784x2 = -5.768518039x + 5.768518039x + 0.0436431784x2 + -0.0436431784x2

Combine like terms: -5.768518039x + 5.768518039x = 0.000000000
-191.9516931 + 5.768518039x + -0.0436431784x2 = 0.000000000 + 0.0436431784x2 + -0.0436431784x2
-191.9516931 + 5.768518039x + -0.0436431784x2 = 0.0436431784x2 + -0.0436431784x2

Combine like terms: 0.0436431784x2 + -0.0436431784x2 = 0.0000000000
-191.9516931 + 5.768518039x + -0.0436431784x2 = 0.0000000000

Begin completing the square.  Divide all terms by
-0.0436431784 the coefficient of the squared term: 

Divide each side by '-0.0436431784'.
4398.206092 + -132.1745631x + x2 = 0

Move the constant term to the right:

Add '-4398.206092' to each side of the equation.
4398.206092 + -132.1745631x + -4398.206092 + x2 = 0 + -4398.206092

Reorder the terms:
4398.206092 + -4398.206092 + -132.1745631x + x2 = 0 + -4398.206092

Combine like terms: 4398.206092 + -4398.206092 = 0.000000
0.000000 + -132.1745631x + x2 = 0 + -4398.206092
-132.1745631x + x2 = 0 + -4398.206092

Combine like terms: 0 + -4398.206092 = -4398.206092
-132.1745631x + x2 = -4398.206092

The x term is -132.1745631x.  Take half its coefficient (-66.08728155).
Square it (4367.528783) and add it to both sides.

Add '4367.528783' to each side of the equation.
-132.1745631x + 4367.528783 + x2 = -4398.206092 + 4367.528783

Reorder the terms:
4367.528783 + -132.1745631x + x2 = -4398.206092 + 4367.528783

Combine like terms: -4398.206092 + 4367.528783 = -30.677309
4367.528783 + -132.1745631x + x2 = -30.677309

Factor a perfect square on the left side:
(x + -66.08728155)(x + -66.08728155) = -30.677309

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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