10x^2-32x=0

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Solution for 10x^2-32x=0 equation: 


Simplifying
10x2 + -32x = 0

Reorder the terms:
-32x + 10x2 = 0

Solving
-32x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-16 + 5x) = 0

Ignore the factor 2.

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 '(-16 + 5x)' equal to zero and attempt to solve:

Simplifying
-16 + 5x = 0

Solving
-16 + 5x = 0

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

Add '16' to each side of the equation.
-16 + 16 + 5x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = 0 + 16
5x = 0 + 16

Combine like terms: 0 + 16 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2
Solution
x = {0, 3.2}

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