6(x+1)+2=3x(2+x)

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Solution for 6(x+1)+2=3x(2+x) equation: 


Simplifying
6(x + 1) + 2 = 3x(2 + x)

Reorder the terms:
6(1 + x) + 2 = 3x(2 + x)
(1 * 6 + x * 6) + 2 = 3x(2 + x)
(6 + 6x) + 2 = 3x(2 + x)

Reorder the terms:
6 + 2 + 6x = 3x(2 + x)

Combine like terms: 6 + 2 = 8
8 + 6x = 3x(2 + x)
8 + 6x = (2 * 3x + x * 3x)
8 + 6x = (6x + 3x2)

Add '-6x' to each side of the equation.
8 + 6x + -6x = 6x + -6x + 3x2

Combine like terms: 6x + -6x = 0
8 + 0 = 6x + -6x + 3x2
8 = 6x + -6x + 3x2

Combine like terms: 6x + -6x = 0
8 = 0 + 3x2
8 = 3x2

Solving
8 = 3x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x2' to each side of the equation.
8 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
8 + -3x2 = 0

Add '-8' to each side of the equation.
8 + -8 + -3x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x2 = 0 + -8
-3x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-3x2 = -8

Divide each side by '-3'.
x2 = 2.666666667

Simplifying
x2 = 2.666666667

Take the square root of each side:
x = {-1.632993162, 1.632993162}

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