72=(x+2)(x)(3)

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Solution for 72=(x+2)(x)(3) equation:


Simplifying
72 = (x + 2)(x)(3)

Reorder the terms:
72 = (2 + x)(x)(3)

Reorder the terms for easier multiplication:
72 = 3x(2 + x)
72 = (2 * 3x + x * 3x)
72 = (6x + 3x2)

Solving
72 = 6x + 3x2

Solving for variable 'x'.

Reorder the terms:
72 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
72 + -6x + -3x2 = 0 + 3x2 + -3x2
72 + -6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
72 + -6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -2x + -1x2) = 0

Factor a trinomial.
3((4 + -1x)(6 + x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

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 = {4, -6}

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