3x*4*2x*3=16x*12

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Solution for 3x*4*2x*3=16x*12 equation:


Simplifying
3x * 4 * 2x * 3 = 16x * 12

Reorder the terms for easier multiplication:
3 * 4 * 2 * 3x * x = 16x * 12

Multiply 3 * 4
12 * 2 * 3x * x = 16x * 12

Multiply 12 * 2
24 * 3x * x = 16x * 12

Multiply 24 * 3
72x * x = 16x * 12

Multiply x * x
72x2 = 16x * 12

Reorder the terms for easier multiplication:
72x2 = 16 * 12x

Multiply 16 * 12
72x2 = 192x

Solving
72x2 = 192x

Solving for variable 'x'.

Reorder the terms:
-192x + 72x2 = 192x + -192x

Combine like terms: 192x + -192x = 0
-192x + 72x2 = 0

Factor out the Greatest Common Factor (GCF), '24x'.
24x(-8 + 3x) = 0

Ignore the factor 24.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-8 + 3x)' equal to zero and attempt to solve:

Simplifying
-8 + 3x = 0

Solving
-8 + 3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 0 + 8
3x = 0 + 8

Combine like terms: 0 + 8 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {0, 2.666666667}

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