5x^2-12x+0=0

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Solution for 5x^2-12x+0=0 equation: 


Simplifying
5x2 + -12x + 0 = 0

Reorder the terms:
0 + -12x + 5x2 = 0
Remove the zero:
-12x + 5x2 = 0

Solving
-12x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + 5x) = 0


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 '(-12 + 5x)' equal to zero and attempt to solve:

Simplifying
-12 + 5x = 0

Solving
-12 + 5x = 0

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

Add '12' to each side of the equation.
-12 + 12 + 5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 0 + 12
5x = 0 + 12

Combine like terms: 0 + 12 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4
Solution
x = {0, 2.4}

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