.15x^2=10x-1500

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Solution for .15x^2=10x-1500 equation: 


Simplifying
0.15x2 = 10x + -1500

Reorder the terms:
0.15x2 = -1500 + 10x

Solving
0.15x2 = -1500 + 10x

Solving for variable 'x'.

Reorder the terms:
1500 + -10x + 0.15x2 = -1500 + 10x + 1500 + -10x

Reorder the terms:
1500 + -10x + 0.15x2 = -1500 + 1500 + 10x + -10x

Combine like terms: -1500 + 1500 = 0
1500 + -10x + 0.15x2 = 0 + 10x + -10x
1500 + -10x + 0.15x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
1500 + -10x + 0.15x2 = 0

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

Divide each side by '0.15'.
10000 + -66.66666667x + x2 = 0

Move the constant term to the right:

Add '-10000' to each side of the equation.
10000 + -66.66666667x + -10000 + x2 = 0 + -10000

Reorder the terms:
10000 + -10000 + -66.66666667x + x2 = 0 + -10000

Combine like terms: 10000 + -10000 = 0
0 + -66.66666667x + x2 = 0 + -10000
-66.66666667x + x2 = 0 + -10000

Combine like terms: 0 + -10000 = -10000
-66.66666667x + x2 = -10000

The x term is -66.66666667x.  Take half its coefficient (-33.33333334).
Square it (1111.111112) and add it to both sides.

Add '1111.111112' to each side of the equation.
-66.66666667x + 1111.111112 + x2 = -10000 + 1111.111112

Reorder the terms:
1111.111112 + -66.66666667x + x2 = -10000 + 1111.111112

Combine like terms: -10000 + 1111.111112 = -8888.888888
1111.111112 + -66.66666667x + x2 = -8888.888888

Factor a perfect square on the left side:
(x + -33.33333334)(x + -33.33333334) = -8888.888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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