.9x-5.4=2.7x(x+2)

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Solution for .9x-5.4=2.7x(x+2) equation: 


Simplifying
0.9x + -5.4 = 2.7x(x + 2)

Reorder the terms:
-5.4 + 0.9x = 2.7x(x + 2)

Reorder the terms:
-5.4 + 0.9x = 2.7x(2 + x)
-5.4 + 0.9x = (2 * 2.7x + x * 2.7x)
-5.4 + 0.9x = (5.4x + 2.7x2)

Solving
-5.4 + 0.9x = 5.4x + 2.7x2

Solving for variable 'x'.

Combine like terms: 0.9x + -5.4x = -4.5x
-5.4 + -4.5x + -2.7x2 = 5.4x + 2.7x2 + -5.4x + -2.7x2

Reorder the terms:
-5.4 + -4.5x + -2.7x2 = 5.4x + -5.4x + 2.7x2 + -2.7x2

Combine like terms: 5.4x + -5.4x = 0.0
-5.4 + -4.5x + -2.7x2 = 0.0 + 2.7x2 + -2.7x2
-5.4 + -4.5x + -2.7x2 = 2.7x2 + -2.7x2

Combine like terms: 2.7x2 + -2.7x2 = 0.0
-5.4 + -4.5x + -2.7x2 = 0.0

Begin completing the square.  Divide all terms by
-2.7 the coefficient of the squared term: 

Divide each side by '-2.7'.
2 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 1.666666667x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 1.666666667x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1.666666667x + x2 = 0 + -2
1.666666667x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
1.666666667x + x2 = -2

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = -2 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = -2 + 0.6944444447

Combine like terms: -2 + 0.6944444447 = -1.3055555553
0.6944444447 + 1.666666667x + x2 = -1.3055555553

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = -1.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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