X(3x^2+19x-72)=0

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Solution for X(3x^2+19x-72)=0 equation: 


Simplifying
X(3x2 + 19x + -72) = 0

Reorder the terms:
X(-72 + 19x + 3x2) = 0
(-72 * X + 19x * X + 3x2 * X) = 0
(-72X + 19xX + 3x2X) = 0

Solving
-72X + 19xX + 3x2X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(-72 + 19x + 3x2) = 0

Factor a trinomial.
X((-9 + -1x)(8 + -3x)) = 0


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 '(-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

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

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

Simplifying
0 = 9 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Add '3x' to each side of the equation.
-3x + 3x = -8 + 3x

Combine like terms: -3x + 3x = 0
0 = -8 + 3x

Simplifying
0 = -8 + 3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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