3x(x+1)=3x+3

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


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

Reorder the terms:
3x(1 + x) = 3x + 3
(1 * 3x + x * 3x) = 3x + 3
(3x + 3x2) = 3x + 3

Reorder the terms:
3x + 3x2 = 3 + 3x

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

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

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

Solving
3x2 = 3

Solving for variable 'x'.

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

Divide each side by '3'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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