x(3x)+18x=0

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Solution for x(3x)+18x=0 equation:


Simplifying
x(3x) + 18x = 0

Remove parenthesis around (3x)
x * 3x + 18x = 0

Reorder the terms for easier multiplication:
3x * x + 18x = 0

Multiply x * x
3x2 + 18x = 0

Reorder the terms:
18x + 3x2 = 0

Solving
18x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(6 + x) = 0

Ignore the factor 3.

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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Solution

x = {0, -6}

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