3x(x+3)=x+2(3x-5)

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Solution for 3x(x+3)=x+2(3x-5) equation: 


Simplifying
3x(x + 3) = x + 2(3x + -5)

Reorder the terms:
3x(3 + x) = x + 2(3x + -5)
(3 * 3x + x * 3x) = x + 2(3x + -5)
(9x + 3x2) = x + 2(3x + -5)

Reorder the terms:
9x + 3x2 = x + 2(-5 + 3x)
9x + 3x2 = x + (-5 * 2 + 3x * 2)
9x + 3x2 = x + (-10 + 6x)

Reorder the terms:
9x + 3x2 = -10 + x + 6x

Combine like terms: x + 6x = 7x
9x + 3x2 = -10 + 7x

Solving
9x + 3x2 = -10 + 7x

Solving for variable 'x'.

Reorder the terms:
10 + 9x + -7x + 3x2 = -10 + 7x + 10 + -7x

Combine like terms: 9x + -7x = 2x
10 + 2x + 3x2 = -10 + 7x + 10 + -7x

Reorder the terms:
10 + 2x + 3x2 = -10 + 10 + 7x + -7x

Combine like terms: -10 + 10 = 0
10 + 2x + 3x2 = 0 + 7x + -7x
10 + 2x + 3x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
10 + 2x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 0.6666666667x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 0.6666666667x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 0.6666666667x + x2 = 0 + -3.333333333
0.6666666667x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
0.6666666667x + x2 = -3.333333333

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -3.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -3.333333333 + 0.1111111112

Combine like terms: -3.333333333 + 0.1111111112 = -3.2222222218
0.1111111112 + 0.6666666667x + x2 = -3.2222222218

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -3.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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