(X+4)(x-3)=(x+7)(x+9)

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Solution for (X+4)(x-3)=(x+7)(x+9) equation: 


Simplifying
(X + 4)(x + -3) = (x + 7)(x + 9)

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

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

Multiply (4 + X) * (-3 + x)
(4(-3 + x) + X(-3 + x)) = (x + 7)(x + 9)
((-3 * 4 + x * 4) + X(-3 + x)) = (x + 7)(x + 9)
((-12 + 4x) + X(-3 + x)) = (x + 7)(x + 9)
(-12 + 4x + (-3 * X + x * X)) = (x + 7)(x + 9)
(-12 + 4x + (-3X + xX)) = (x + 7)(x + 9)

Reorder the terms:
(-12 + -3X + 4x + xX) = (x + 7)(x + 9)
(-12 + -3X + 4x + xX) = (x + 7)(x + 9)

Reorder the terms:
-12 + -3X + 4x + xX = (7 + x)(x + 9)

Reorder the terms:
-12 + -3X + 4x + xX = (7 + x)(9 + x)

Multiply (7 + x) * (9 + x)
-12 + -3X + 4x + xX = (7(9 + x) + x(9 + x))
-12 + -3X + 4x + xX = ((9 * 7 + x * 7) + x(9 + x))
-12 + -3X + 4x + xX = ((63 + 7x) + x(9 + x))
-12 + -3X + 4x + xX = (63 + 7x + (9 * x + x * x))
-12 + -3X + 4x + xX = (63 + 7x + (9x + x2))

Combine like terms: 7x + 9x = 16x
-12 + -3X + 4x + xX = (63 + 16x + x2)

Solving
-12 + -3X + 4x + xX = 63 + 16x + x2

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + -3X + 4x + 12 + xX = 63 + 16x + 12 + x2

Reorder the terms:
-12 + 12 + -3X + 4x + xX = 63 + 16x + 12 + x2

Combine like terms: -12 + 12 = 0
0 + -3X + 4x + xX = 63 + 16x + 12 + x2
-3X + 4x + xX = 63 + 16x + 12 + x2

Reorder the terms:
-3X + 4x + xX = 63 + 12 + 16x + x2

Combine like terms: 63 + 12 = 75
-3X + 4x + xX = 75 + 16x + x2

Add '-4x' to each side of the equation.
-3X + 4x + -4x + xX = 75 + 16x + -4x + x2

Combine like terms: 4x + -4x = 0
-3X + 0 + xX = 75 + 16x + -4x + x2
-3X + xX = 75 + 16x + -4x + x2

Combine like terms: 16x + -4x = 12x
-3X + xX = 75 + 12x + x2

Reorder the terms:
-75 + -3X + -12x + xX + -1x2 = 75 + 12x + x2 + -75 + -12x + -1x2

Reorder the terms:
-75 + -3X + -12x + xX + -1x2 = 75 + -75 + 12x + -12x + x2 + -1x2

Combine like terms: 75 + -75 = 0
-75 + -3X + -12x + xX + -1x2 = 0 + 12x + -12x + x2 + -1x2
-75 + -3X + -12x + xX + -1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
-75 + -3X + -12x + xX + -1x2 = 0 + x2 + -1x2
-75 + -3X + -12x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-75 + -3X + -12x + xX + -1x2 = 0

The solution to this equation could not be determined.

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