1.5=0.5x-0.06x^2

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Solution for 1.5=0.5x-0.06x^2 equation: 


Simplifying
1.5 = 0.5x + -0.06x2

Solving
1.5 = 0.5x + -0.06x2

Solving for variable 'x'.

Reorder the terms:
1.5 + -0.5x + 0.06x2 = 0.5x + -0.5x + -0.06x2 + 0.06x2

Combine like terms: 0.5x + -0.5x = 0.0
1.5 + -0.5x + 0.06x2 = 0.0 + -0.06x2 + 0.06x2
1.5 + -0.5x + 0.06x2 = -0.06x2 + 0.06x2

Combine like terms: -0.06x2 + 0.06x2 = 0.00
1.5 + -0.5x + 0.06x2 = 0.00

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

Divide each side by '0.06'.
25 + -8.333333333x + x2 = 0

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -8.333333333x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -8.333333333x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -8.333333333x + x2 = 0 + -25
-8.333333333x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-8.333333333x + x2 = -25

The x term is -8.333333333x.  Take half its coefficient (-4.166666667).
Square it (17.36111111) and add it to both sides.

Add '17.36111111' to each side of the equation.
-8.333333333x + 17.36111111 + x2 = -25 + 17.36111111

Reorder the terms:
17.36111111 + -8.333333333x + x2 = -25 + 17.36111111

Combine like terms: -25 + 17.36111111 = -7.63888889
17.36111111 + -8.333333333x + x2 = -7.63888889

Factor a perfect square on the left side:
(x + -4.166666667)(x + -4.166666667) = -7.63888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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