-5x(8x-13)=0

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


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

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

Solving
65x + -40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(13 + -8x) = 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 '(13 + -8x)' equal to zero and attempt to solve:

Simplifying
13 + -8x = 0

Solving
13 + -8x = 0

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

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

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

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

Divide each side by '-8'.
x = 1.625

Simplifying
x = 1.625
Solution
x = {0, 1.625}

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