(x+96)(5x)=

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Solution for (x+96)(5x)= equation: 


Simplifying
(x + 96)(5x) = 0

Reorder the terms:
(96 + x)(5x) = 0

Remove parenthesis around (5x)
(96 + x) * 5x = 0

Reorder the terms for easier multiplication:
5x(96 + x) = 0
(96 * 5x + x * 5x) = 0
(480x + 5x2) = 0

Solving
480x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(96 + x) = 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 '(96 + x)' equal to zero and attempt to solve:

Simplifying
96 + x = 0

Solving
96 + x = 0

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

Add '-96' to each side of the equation.
96 + -96 + x = 0 + -96

Combine like terms: 96 + -96 = 0
0 + x = 0 + -96
x = 0 + -96

Combine like terms: 0 + -96 = -96
x = -96

Simplifying
x = -96
Solution
x = {0, -96}

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