5x(13x-8)=0

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Solution for 5x(13x-8)=0 equation: 


Simplifying
5x(13x + -8) = 0

Reorder the terms:
5x(-8 + 13x) = 0
(-8 * 5x + 13x * 5x) = 0
(-40x + 65x2) = 0

Solving
-40x + 65x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-8 + 13x) = 0

Ignore the factor 5.

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 '(-8 + 13x)' equal to zero and attempt to solve:

Simplifying
-8 + 13x = 0

Solving
-8 + 13x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 13x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 13x = 0 + 8
13x = 0 + 8

Combine like terms: 0 + 8 = 8
13x = 8

Divide each side by '13'.
x = 0.6153846154

Simplifying
x = 0.6153846154
Solution
x = {0, 0.6153846154}

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