6x(x+40)=0

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Solution for 6x(x+40)=0 equation: 


Simplifying
6x(x + 40) = 0

Reorder the terms:
6x(40 + x) = 0
(40 * 6x + x * 6x) = 0
(240x + 6x2) = 0

Solving
240x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(40 + x) = 0

Ignore the factor 6.

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 '(40 + x)' equal to zero and attempt to solve:

Simplifying
40 + x = 0

Solving
40 + x = 0

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

Add '-40' to each side of the equation.
40 + -40 + x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + x = 0 + -40
x = 0 + -40

Combine like terms: 0 + -40 = -40
x = -40

Simplifying
x = -40
Solution
x = {0, -40}

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