3x(x+6)=2(x-14)

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Solution for 3x(x+6)=2(x-14) equation: 


Simplifying
3x(x + 6) = 2(x + -14)

Reorder the terms:
3x(6 + x) = 2(x + -14)
(6 * 3x + x * 3x) = 2(x + -14)
(18x + 3x2) = 2(x + -14)

Reorder the terms:
18x + 3x2 = 2(-14 + x)
18x + 3x2 = (-14 * 2 + x * 2)
18x + 3x2 = (-28 + 2x)

Solving
18x + 3x2 = -28 + 2x

Solving for variable 'x'.

Reorder the terms:
28 + 18x + -2x + 3x2 = -28 + 2x + 28 + -2x

Combine like terms: 18x + -2x = 16x
28 + 16x + 3x2 = -28 + 2x + 28 + -2x

Reorder the terms:
28 + 16x + 3x2 = -28 + 28 + 2x + -2x

Combine like terms: -28 + 28 = 0
28 + 16x + 3x2 = 0 + 2x + -2x
28 + 16x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
28 + 16x + 3x2 = 0

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

Divide each side by '3'.
9.333333333 + 5.333333333x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + 5.333333333x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + 5.333333333x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + 5.333333333x + x2 = 0 + -9.333333333
5.333333333x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
5.333333333x + x2 = -9.333333333

The x term is 5.333333333x.  Take half its coefficient (2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
5.333333333x + 7.111111113 + x2 = -9.333333333 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333x + x2 = -9.333333333 + 7.111111113

Combine like terms: -9.333333333 + 7.111111113 = -2.22222222
7.111111113 + 5.333333333x + x2 = -2.22222222

Factor a perfect square on the left side:
(x + 2.666666667)(x + 2.666666667) = -2.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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