X(3x-3)=(3x+9)(x-7)

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Solution for X(3x-3)=(3x+9)(x-7) equation: 


Simplifying
X(3x + -3) = (3x + 9)(x + -7)

Reorder the terms:
X(-3 + 3x) = (3x + 9)(x + -7)
(-3 * X + 3x * X) = (3x + 9)(x + -7)
(-3X + 3xX) = (3x + 9)(x + -7)

Reorder the terms:
-3X + 3xX = (9 + 3x)(x + -7)

Reorder the terms:
-3X + 3xX = (9 + 3x)(-7 + x)

Multiply (9 + 3x) * (-7 + x)
-3X + 3xX = (9(-7 + x) + 3x * (-7 + x))
-3X + 3xX = ((-7 * 9 + x * 9) + 3x * (-7 + x))
-3X + 3xX = ((-63 + 9x) + 3x * (-7 + x))
-3X + 3xX = (-63 + 9x + (-7 * 3x + x * 3x))
-3X + 3xX = (-63 + 9x + (-21x + 3x2))

Combine like terms: 9x + -21x = -12x
-3X + 3xX = (-63 + -12x + 3x2)

Solving
-3X + 3xX = -63 + -12x + 3x2

Solving for variable 'X'.

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

Reorder the terms:
63 + -3X + 12x + 3xX + -3x2 = -63 + -12x + 3x2 + 63 + 12x + -3x2

Reorder the terms:
63 + -3X + 12x + 3xX + -3x2 = -63 + 63 + -12x + 12x + 3x2 + -3x2

Combine like terms: -63 + 63 = 0
63 + -3X + 12x + 3xX + -3x2 = 0 + -12x + 12x + 3x2 + -3x2
63 + -3X + 12x + 3xX + -3x2 = -12x + 12x + 3x2 + -3x2

Combine like terms: -12x + 12x = 0
63 + -3X + 12x + 3xX + -3x2 = 0 + 3x2 + -3x2
63 + -3X + 12x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
63 + -3X + 12x + 3xX + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(21 + -1X + 4x + xX + -1x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(21 + -1X + 4x + xX + -1x2)' equal to zero and attempt to solve:

Simplifying
21 + -1X + 4x + xX + -1x2 = 0

Solving
21 + -1X + 4x + xX + -1x2 = 0

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

Add '-21' to each side of the equation.
21 + -1X + 4x + xX + -21 + -1x2 = 0 + -21

Reorder the terms:
21 + -21 + -1X + 4x + xX + -1x2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1X + 4x + xX + -1x2 = 0 + -21
-1X + 4x + xX + -1x2 = 0 + -21

Combine like terms: 0 + -21 = -21
-1X + 4x + xX + -1x2 = -21

Add '-4x' to each side of the equation.
-1X + 4x + xX + -4x + -1x2 = -21 + -4x

Reorder the terms:
-1X + 4x + -4x + xX + -1x2 = -21 + -4x

Combine like terms: 4x + -4x = 0
-1X + 0 + xX + -1x2 = -21 + -4x
-1X + xX + -1x2 = -21 + -4x

Add 'x2' to each side of the equation.
-1X + xX + -1x2 + x2 = -21 + -4x + x2

Combine like terms: -1x2 + x2 = 0
-1X + xX + 0 = -21 + -4x + x2
-1X + xX = -21 + -4x + x2

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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