5x*3x=204x

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Solution for 5x*3x=204x equation: 


Simplifying
5x * 3x = 204x

Reorder the terms for easier multiplication:
5 * 3x * x = 204x

Multiply 5 * 3
15x * x = 204x

Multiply x * x
15x2 = 204x

Solving
15x2 = 204x

Solving for variable 'x'.

Reorder the terms:
-204x + 15x2 = 204x + -204x

Combine like terms: 204x + -204x = 0
-204x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-68 + 5x) = 0

Ignore the factor 3.

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 '(-68 + 5x)' equal to zero and attempt to solve:

Simplifying
-68 + 5x = 0

Solving
-68 + 5x = 0

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

Add '68' to each side of the equation.
-68 + 68 + 5x = 0 + 68

Combine like terms: -68 + 68 = 0
0 + 5x = 0 + 68
5x = 0 + 68

Combine like terms: 0 + 68 = 68
5x = 68

Divide each side by '5'.
x = 13.6

Simplifying
x = 13.6
Solution
x = {0, 13.6}

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