x=0.1x^2+1.5x+7.235

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Solution for x=0.1x^2+1.5x+7.235 equation: 


Simplifying
x = 0.1x2 + 1.5x + 7.235

Reorder the terms:
x = 7.235 + 1.5x + 0.1x2

Solving
x = 7.235 + 1.5x + 0.1x2

Solving for variable 'x'.

Reorder the terms:
-7.235 + x + -1.5x + -0.1x2 = 7.235 + 1.5x + 0.1x2 + -7.235 + -1.5x + -0.1x2

Combine like terms: x + -1.5x = -0.5x
-7.235 + -0.5x + -0.1x2 = 7.235 + 1.5x + 0.1x2 + -7.235 + -1.5x + -0.1x2

Reorder the terms:
-7.235 + -0.5x + -0.1x2 = 7.235 + -7.235 + 1.5x + -1.5x + 0.1x2 + -0.1x2

Combine like terms: 7.235 + -7.235 = 0.000
-7.235 + -0.5x + -0.1x2 = 0.000 + 1.5x + -1.5x + 0.1x2 + -0.1x2
-7.235 + -0.5x + -0.1x2 = 1.5x + -1.5x + 0.1x2 + -0.1x2

Combine like terms: 1.5x + -1.5x = 0.0
-7.235 + -0.5x + -0.1x2 = 0.0 + 0.1x2 + -0.1x2
-7.235 + -0.5x + -0.1x2 = 0.1x2 + -0.1x2

Combine like terms: 0.1x2 + -0.1x2 = 0.0
-7.235 + -0.5x + -0.1x2 = 0.0

Begin completing the square.  Divide all terms by
-0.1 the coefficient of the squared term: 

Divide each side by '-0.1'.
72.35 + 5x + x2 = 0

Move the constant term to the right:

Add '-72.35' to each side of the equation.
72.35 + 5x + -72.35 + x2 = 0 + -72.35

Reorder the terms:
72.35 + -72.35 + 5x + x2 = 0 + -72.35

Combine like terms: 72.35 + -72.35 = 0.00
0.00 + 5x + x2 = 0 + -72.35
5x + x2 = 0 + -72.35

Combine like terms: 0 + -72.35 = -72.35
5x + x2 = -72.35

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -72.35 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -72.35 + 6.25

Combine like terms: -72.35 + 6.25 = -66.1
6.25 + 5x + x2 = -66.1

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -66.1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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