(X-9)(x+3)=-5(x-9)

Solution for (X-9)(x+3)=-5(x-9) equation:

Simplifying
(X + -9)(x + 3) = -5(x + -9)

Reorder the terms:
(-9 + X)(x + 3) = -5(x + -9)

Reorder the terms:
(-9 + X)(3 + x) = -5(x + -9)

Multiply (-9 + X) * (3 + x)
(-9(3 + x) + X(3 + x)) = -5(x + -9)
((3 * -9 + x * -9) + X(3 + x)) = -5(x + -9)
((-27 + -9x) + X(3 + x)) = -5(x + -9)
(-27 + -9x + (3 * X + x * X)) = -5(x + -9)
(-27 + -9x + (3X + xX)) = -5(x + -9)

Reorder the terms:
(-27 + 3X + -9x + xX) = -5(x + -9)
(-27 + 3X + -9x + xX) = -5(x + -9)

Reorder the terms:
-27 + 3X + -9x + xX = -5(-9 + x)
-27 + 3X + -9x + xX = (-9 * -5 + x * -5)
-27 + 3X + -9x + xX = (45 + -5x)

Solving
-27 + 3X + -9x + xX = 45 + -5x

Solving for variable 'X'.

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

Add '27' to each side of the equation.
-27 + 3X + -9x + 27 + xX = 45 + 27 + -5x

Reorder the terms:
-27 + 27 + 3X + -9x + xX = 45 + 27 + -5x

Combine like terms: -27 + 27 = 0
0 + 3X + -9x + xX = 45 + 27 + -5x
3X + -9x + xX = 45 + 27 + -5x

Combine like terms: 45 + 27 = 72
3X + -9x + xX = 72 + -5x

Add '9x' to each side of the equation.
3X + -9x + 9x + xX = 72 + -5x + 9x

Combine like terms: -9x + 9x = 0
3X + 0 + xX = 72 + -5x + 9x
3X + xX = 72 + -5x + 9x

Combine like terms: -5x + 9x = 4x
3X + xX = 72 + 4x

Reorder the terms:
-72 + 3X + -4x + xX = 72 + 4x + -72 + -4x

Reorder the terms:
-72 + 3X + -4x + xX = 72 + -72 + 4x + -4x

Combine like terms: 72 + -72 = 0
-72 + 3X + -4x + xX = 0 + 4x + -4x
-72 + 3X + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
-72 + 3X + -4x + xX = 0

The solution to this equation could not be determined.