12(32)=3x(2x)

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Solution for 12(32)=3x(2x) equation:


Simplifying
12(32) = 3x(2x)

Multiply 12 * 32
384 = 3x(2x)

Remove parenthesis around (2x)
384 = 3x * 2x

Reorder the terms for easier multiplication:
384 = 3 * 2x * x

Multiply 3 * 2
384 = 6x * x

Multiply x * x
384 = 6x2

Solving
384 = 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
384 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
384 + -6x2 = 0

Add '-384' to each side of the equation.
384 + -384 + -6x2 = 0 + -384

Combine like terms: 384 + -384 = 0
0 + -6x2 = 0 + -384
-6x2 = 0 + -384

Combine like terms: 0 + -384 = -384
-6x2 = -384

Divide each side by '-6'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}

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