(X-4)(3x-6)=9

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Solution for (X-4)(3x-6)=9 equation:


Simplifying
(X + -4)(3x + -6) = 9

Reorder the terms:
(-4 + X)(3x + -6) = 9

Reorder the terms:
(-4 + X)(-6 + 3x) = 9

Multiply (-4 + X) * (-6 + 3x)
(-4(-6 + 3x) + X(-6 + 3x)) = 9
((-6 * -4 + 3x * -4) + X(-6 + 3x)) = 9
((24 + -12x) + X(-6 + 3x)) = 9
(24 + -12x + (-6 * X + 3x * X)) = 9
(24 + -12x + (-6X + 3xX)) = 9

Reorder the terms:
(24 + -6X + -12x + 3xX) = 9
(24 + -6X + -12x + 3xX) = 9

Solving
24 + -6X + -12x + 3xX = 9

Solving for variable 'X'.

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

Add '-24' to each side of the equation.
24 + -6X + -12x + -24 + 3xX = 9 + -24

Reorder the terms:
24 + -24 + -6X + -12x + 3xX = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -6X + -12x + 3xX = 9 + -24
-6X + -12x + 3xX = 9 + -24

Combine like terms: 9 + -24 = -15
-6X + -12x + 3xX = -15

Add '12x' to each side of the equation.
-6X + -12x + 12x + 3xX = -15 + 12x

Combine like terms: -12x + 12x = 0
-6X + 0 + 3xX = -15 + 12x
-6X + 3xX = -15 + 12x

Reorder the terms:
15 + -6X + -12x + 3xX = -15 + 12x + 15 + -12x

Reorder the terms:
15 + -6X + -12x + 3xX = -15 + 15 + 12x + -12x

Combine like terms: -15 + 15 = 0
15 + -6X + -12x + 3xX = 0 + 12x + -12x
15 + -6X + -12x + 3xX = 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -6X + -12x + 3xX = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -2X + -4x + xX) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(5 + -2X + -4x + xX)' equal to zero and attempt to solve: Simplifying 5 + -2X + -4x + xX = 0 Solving 5 + -2X + -4x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -2X + -4x + -5 + xX = 0 + -5 Reorder the terms: 5 + -5 + -2X + -4x + xX = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2X + -4x + xX = 0 + -5 -2X + -4x + xX = 0 + -5 Combine like terms: 0 + -5 = -5 -2X + -4x + xX = -5 Add '4x' to each side of the equation. -2X + -4x + 4x + xX = -5 + 4x Combine like terms: -4x + 4x = 0 -2X + 0 + xX = -5 + 4x -2X + xX = -5 + 4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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