(X-4)(x+9)=(x+5)(x-3)

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Solution for (X-4)(x+9)=(x+5)(x-3) equation: 


Simplifying
(X + -4)(x + 9) = (x + 5)(x + -3)

Reorder the terms:
(-4 + X)(x + 9) = (x + 5)(x + -3)

Reorder the terms:
(-4 + X)(9 + x) = (x + 5)(x + -3)

Multiply (-4 + X) * (9 + x)
(-4(9 + x) + X(9 + x)) = (x + 5)(x + -3)
((9 * -4 + x * -4) + X(9 + x)) = (x + 5)(x + -3)
((-36 + -4x) + X(9 + x)) = (x + 5)(x + -3)
(-36 + -4x + (9 * X + x * X)) = (x + 5)(x + -3)
(-36 + -4x + (9X + xX)) = (x + 5)(x + -3)

Reorder the terms:
(-36 + 9X + -4x + xX) = (x + 5)(x + -3)
(-36 + 9X + -4x + xX) = (x + 5)(x + -3)

Reorder the terms:
-36 + 9X + -4x + xX = (5 + x)(x + -3)

Reorder the terms:
-36 + 9X + -4x + xX = (5 + x)(-3 + x)

Multiply (5 + x) * (-3 + x)
-36 + 9X + -4x + xX = (5(-3 + x) + x(-3 + x))
-36 + 9X + -4x + xX = ((-3 * 5 + x * 5) + x(-3 + x))
-36 + 9X + -4x + xX = ((-15 + 5x) + x(-3 + x))
-36 + 9X + -4x + xX = (-15 + 5x + (-3 * x + x * x))
-36 + 9X + -4x + xX = (-15 + 5x + (-3x + x2))

Combine like terms: 5x + -3x = 2x
-36 + 9X + -4x + xX = (-15 + 2x + x2)

Solving
-36 + 9X + -4x + xX = -15 + 2x + x2

Solving for variable 'X'.

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

Add '36' to each side of the equation.
-36 + 9X + -4x + 36 + xX = -15 + 2x + 36 + x2

Reorder the terms:
-36 + 36 + 9X + -4x + xX = -15 + 2x + 36 + x2

Combine like terms: -36 + 36 = 0
0 + 9X + -4x + xX = -15 + 2x + 36 + x2
9X + -4x + xX = -15 + 2x + 36 + x2

Reorder the terms:
9X + -4x + xX = -15 + 36 + 2x + x2

Combine like terms: -15 + 36 = 21
9X + -4x + xX = 21 + 2x + x2

Add '4x' to each side of the equation.
9X + -4x + 4x + xX = 21 + 2x + 4x + x2

Combine like terms: -4x + 4x = 0
9X + 0 + xX = 21 + 2x + 4x + x2
9X + xX = 21 + 2x + 4x + x2

Combine like terms: 2x + 4x = 6x
9X + xX = 21 + 6x + x2

Reorder the terms:
-21 + 9X + -6x + xX + -1x2 = 21 + 6x + x2 + -21 + -6x + -1x2

Reorder the terms:
-21 + 9X + -6x + xX + -1x2 = 21 + -21 + 6x + -6x + x2 + -1x2

Combine like terms: 21 + -21 = 0
-21 + 9X + -6x + xX + -1x2 = 0 + 6x + -6x + x2 + -1x2
-21 + 9X + -6x + xX + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-21 + 9X + -6x + xX + -1x2 = 0 + x2 + -1x2
-21 + 9X + -6x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-21 + 9X + -6x + xX + -1x2 = 0

The solution to this equation could not be determined.

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