(x+2)(x)(3)-105=0

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Solution for (x+2)(x)(3)-105=0 equation:


Simplifying
(x + 2)(x)(3) + -105 = 0

Reorder the terms:
(2 + x)(x)(3) + -105 = 0

Reorder the terms for easier multiplication:
3x(2 + x) + -105 = 0
(2 * 3x + x * 3x) + -105 = 0
(6x + 3x2) + -105 = 0

Reorder the terms:
-105 + 6x + 3x2 = 0

Solving
-105 + 6x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-35 + 2x + x2) = 0

Factor a trinomial.
3((-7 + -1x)(5 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-7, 5}

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