5x*6x-3x=0

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Solution for 5x*6x-3x=0 equation: 


Simplifying
5x * 6x + -3x = 0

Reorder the terms for easier multiplication:
5 * 6x * x + -3x = 0

Multiply 5 * 6
30x * x + -3x = 0

Multiply x * x
30x2 + -3x = 0

Reorder the terms:
-3x + 30x2 = 0

Solving
-3x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + 10x) = 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 '(-1 + 10x)' equal to zero and attempt to solve:

Simplifying
-1 + 10x = 0

Solving
-1 + 10x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 10x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = 0 + 1
10x = 0 + 1

Combine like terms: 0 + 1 = 1
10x = 1

Divide each side by '10'.
x = 0.1

Simplifying
x = 0.1
Solution
x = {0, 0.1}

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