(2x+3x)(x-8)=0

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Solution for (2x+3x)(x-8)=0 equation:


Simplifying
(2x + 3x)(x + -8) = 0

Combine like terms: 2x + 3x = 5x
(5x)(x + -8) = 0

Remove parenthesis around (5x)
5x(x + -8) = 0

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

Solving
-40x + 5x2 = 0

Solving for variable 'x'.

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

Simplifying
-8 + x = 0

Solving
-8 + x = 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 + x = 0 + 8

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

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

Simplifying
x = 8
Solution
x = {0, 8}

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