24x^2-160x-0=0

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Solution for 24x^2-160x-0=0 equation: 


Simplifying
24x2 + -160x + 0 = 0

Reorder the terms:
0 + -160x + 24x2 = 0
Remove the zero:
-160x + 24x2 = 0

Solving
-160x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-20 + 3x) = 0

Ignore the factor 8.

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 '(-20 + 3x)' equal to zero and attempt to solve:

Simplifying
-20 + 3x = 0

Solving
-20 + 3x = 0

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

Add '20' to each side of the equation.
-20 + 20 + 3x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = 0 + 20
3x = 0 + 20

Combine like terms: 0 + 20 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667
Solution
x = {0, 6.666666667}

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