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

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

Simplifying
3(x + 1) * 2 = 3x2 + 6x + 3

Reorder the terms:
3(1 + x) * 2 = 3x2 + 6x + 3

Reorder the terms for easier multiplication:
3 * 2(1 + x) = 3x2 + 6x + 3

Multiply 3 * 2
6(1 + x) = 3x2 + 6x + 3
(1 * 6 + x * 6) = 3x2 + 6x + 3
(6 + 6x) = 3x2 + 6x + 3

Reorder the terms:
6 + 6x = 3 + 6x + 3x2

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

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

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

Solving
6 = 3 + 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.
6 + -3x2 = 3 + 3x2 + -3x2

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

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

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

Combine like terms: 3 + -6 = -3
-3x2 = -3

Divide each side by '-3'.
x2 = 1

Simplifying
x2 = 1

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