40=-.005x^2+1.2x-72.7

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Solution for 40=-.005x^2+1.2x-72.7 equation: 


Simplifying
40 = -0.005x2 + 1.2x + -72.7

Reorder the terms:
40 = -72.7 + 1.2x + -0.005x2

Solving
40 = -72.7 + 1.2x + -0.005x2

Solving for variable 'x'.

Combine like terms: 40 + 72.7 = 112.7
112.7 + -1.2x + 0.005x2 = -72.7 + 1.2x + -0.005x2 + 72.7 + -1.2x + 0.005x2

Reorder the terms:
112.7 + -1.2x + 0.005x2 = -72.7 + 72.7 + 1.2x + -1.2x + -0.005x2 + 0.005x2

Combine like terms: -72.7 + 72.7 = 0.0
112.7 + -1.2x + 0.005x2 = 0.0 + 1.2x + -1.2x + -0.005x2 + 0.005x2
112.7 + -1.2x + 0.005x2 = 1.2x + -1.2x + -0.005x2 + 0.005x2

Combine like terms: 1.2x + -1.2x = 0.0
112.7 + -1.2x + 0.005x2 = 0.0 + -0.005x2 + 0.005x2
112.7 + -1.2x + 0.005x2 = -0.005x2 + 0.005x2

Combine like terms: -0.005x2 + 0.005x2 = 0.000
112.7 + -1.2x + 0.005x2 = 0.000

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

Divide each side by '0.005'.
22540 + -240x + x2 = 0

Move the constant term to the right:

Add '-22540' to each side of the equation.
22540 + -240x + -22540 + x2 = 0 + -22540

Reorder the terms:
22540 + -22540 + -240x + x2 = 0 + -22540

Combine like terms: 22540 + -22540 = 0
0 + -240x + x2 = 0 + -22540
-240x + x2 = 0 + -22540

Combine like terms: 0 + -22540 = -22540
-240x + x2 = -22540

The x term is -240x.  Take half its coefficient (-120).
Square it (14400) and add it to both sides.

Add '14400' to each side of the equation.
-240x + 14400 + x2 = -22540 + 14400

Reorder the terms:
14400 + -240x + x2 = -22540 + 14400

Combine like terms: -22540 + 14400 = -8140
14400 + -240x + x2 = -8140

Factor a perfect square on the left side:
(x + -120)(x + -120) = -8140

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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