(x+18)(6x)(3x)=

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Solution for (x+18)(6x)(3x)= equation:


Simplifying
(x + 18)(6x)(3x) = 0

Reorder the terms:
(18 + x)(6x)(3x) = 0

Remove parenthesis around (6x)
(18 + x) * 6x(3x) = 0

Remove parenthesis around (3x)
(18 + x) * 6x * 3x = 0

Reorder the terms for easier multiplication:
6 * 3x * x(18 + x) = 0

Multiply 6 * 3
18x * x(18 + x) = 0

Multiply x * x
18x2(18 + x) = 0
(18 * 18x2 + x * 18x2) = 0
(324x2 + 18x3) = 0

Solving
324x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18x2'.
18x2(18 + x) = 0

Ignore the factor 18.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18

Solution

x = {0, -18}

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