3x(5x-54)=

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Solution for 3x(5x-54)= equation: 


Simplifying
3x(5x + -54) = 0

Reorder the terms:
3x(-54 + 5x) = 0
(-54 * 3x + 5x * 3x) = 0
(-162x + 15x2) = 0

Solving
-162x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-54 + 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 '(-54 + 5x)' equal to zero and attempt to solve:

Simplifying
-54 + 5x = 0

Solving
-54 + 5x = 0

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

Add '54' to each side of the equation.
-54 + 54 + 5x = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 5x = 0 + 54
5x = 0 + 54

Combine like terms: 0 + 54 = 54
5x = 54

Divide each side by '5'.
x = 10.8

Simplifying
x = 10.8
Solution
x = {0, 10.8}

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