0=-0.003x*x+0.54x-24.3-3

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Solution for 0=-0.003x*x+0.54x-24.3-3 equation:


Simplifying
0 = -0.003x * x + 0.54x + -24.3 + -3

Multiply x * x
0 = -0.003x2 + 0.54x + -24.3 + -3

Reorder the terms:
0 = -24.3 + -3 + 0.54x + -0.003x2

Combine like terms: -24.3 + -3 = -27.3
0 = -27.3 + 0.54x + -0.003x2

Solving
0 = -27.3 + 0.54x + -0.003x2

Solving for variable 'x'.

Combine like terms: 0 + 27.3 = 27.3
27.3 + -0.54x + 0.003x2 = -27.3 + 0.54x + -0.003x2 + 27.3 + -0.54x + 0.003x2

Reorder the terms:
27.3 + -0.54x + 0.003x2 = -27.3 + 27.3 + 0.54x + -0.54x + -0.003x2 + 0.003x2

Combine like terms: -27.3 + 27.3 = 0.0
27.3 + -0.54x + 0.003x2 = 0.0 + 0.54x + -0.54x + -0.003x2 + 0.003x2
27.3 + -0.54x + 0.003x2 = 0.54x + -0.54x + -0.003x2 + 0.003x2

Combine like terms: 0.54x + -0.54x = 0.00
27.3 + -0.54x + 0.003x2 = 0.00 + -0.003x2 + 0.003x2
27.3 + -0.54x + 0.003x2 = -0.003x2 + 0.003x2

Combine like terms: -0.003x2 + 0.003x2 = 0.000
27.3 + -0.54x + 0.003x2 = 0.000

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

Divide each side by '0.003'.
9100 + -180x + x2 = 0

Move the constant term to the right:

Add '-9100' to each side of the equation.
9100 + -180x + -9100 + x2 = 0 + -9100

Reorder the terms:
9100 + -9100 + -180x + x2 = 0 + -9100

Combine like terms: 9100 + -9100 = 0
0 + -180x + x2 = 0 + -9100
-180x + x2 = 0 + -9100

Combine like terms: 0 + -9100 = -9100
-180x + x2 = -9100

The x term is -180x.  Take half its coefficient (-90).
Square it (8100) and add it to both sides.

Add '8100' to each side of the equation.
-180x + 8100 + x2 = -9100 + 8100

Reorder the terms:
8100 + -180x + x2 = -9100 + 8100

Combine like terms: -9100 + 8100 = -1000
8100 + -180x + x2 = -1000

Factor a perfect square on the left side:
(x + -90)(x + -90) = -1000

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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