3x^2+12=3x(x-2)

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Solution for 3x^2+12=3x(x-2) equation:


Simplifying
3x2 + 12 = 3x(x + -2)

Reorder the terms:
12 + 3x2 = 3x(x + -2)

Reorder the terms:
12 + 3x2 = 3x(-2 + x)
12 + 3x2 = (-2 * 3x + x * 3x)
12 + 3x2 = (-6x + 3x2)

Add '-3x2' to each side of the equation.
12 + 3x2 + -3x2 = -6x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
12 + 0 = -6x + 3x2 + -3x2
12 = -6x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
12 = -6x + 0
12 = -6x

Solving
12 = -6x

Solving for variable 'x'.

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

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

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

Add '-12' to each side of the equation.
12 + -12 + 6x = 0 + -12

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

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

Divide each side by '6'.
x = -2

Simplifying
x = -2

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