3x(9x+2)=4x+2(x+6)

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Solution for 3x(9x+2)=4x+2(x+6) equation: 


Simplifying
3x(9x + 2) = 4x + 2(x + 6)

Reorder the terms:
3x(2 + 9x) = 4x + 2(x + 6)
(2 * 3x + 9x * 3x) = 4x + 2(x + 6)
(6x + 27x2) = 4x + 2(x + 6)

Reorder the terms:
6x + 27x2 = 4x + 2(6 + x)
6x + 27x2 = 4x + (6 * 2 + x * 2)
6x + 27x2 = 4x + (12 + 2x)

Reorder the terms:
6x + 27x2 = 12 + 4x + 2x

Combine like terms: 4x + 2x = 6x
6x + 27x2 = 12 + 6x

Add '-6x' to each side of the equation.
6x + -6x + 27x2 = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
0 + 27x2 = 12 + 6x + -6x
27x2 = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
27x2 = 12 + 0
27x2 = 12

Solving
27x2 = 12

Solving for variable 'x'.

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

Divide each side by '27'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

Take the square root of each side:
x = {-0.666666667, 0.666666667}

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