594=(x+2)(x)6

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Solution for 594=(x+2)(x)6 equation: 


Simplifying
594 = (x + 2)(x) * 6

Reorder the terms:
594 = (2 + x)(x) * 6

Reorder the terms for easier multiplication:
594 = 6x(2 + x)
594 = (2 * 6x + x * 6x)
594 = (12x + 6x2)

Solving
594 = 12x + 6x2

Solving for variable 'x'.

Reorder the terms:
594 + -12x + -6x2 = 12x + -12x + 6x2 + -6x2

Combine like terms: 12x + -12x = 0
594 + -12x + -6x2 = 0 + 6x2 + -6x2
594 + -12x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
594 + -12x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(99 + -2x + -1x2) = 0

Factor a trinomial.
6((9 + -1x)(11 + x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {9, -11}

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