X(x+2)+5=(x+7)(x-3)

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Solution for X(x+2)+5=(x+7)(x-3) equation: 


Simplifying
X(x + 2) + 5 = (x + 7)(x + -3)

Reorder the terms:
X(2 + x) + 5 = (x + 7)(x + -3)
(2 * X + x * X) + 5 = (x + 7)(x + -3)
(2X + xX) + 5 = (x + 7)(x + -3)

Reorder the terms:
5 + 2X + xX = (x + 7)(x + -3)

Reorder the terms:
5 + 2X + xX = (7 + x)(x + -3)

Reorder the terms:
5 + 2X + xX = (7 + x)(-3 + x)

Multiply (7 + x) * (-3 + x)
5 + 2X + xX = (7(-3 + x) + x(-3 + x))
5 + 2X + xX = ((-3 * 7 + x * 7) + x(-3 + x))
5 + 2X + xX = ((-21 + 7x) + x(-3 + x))
5 + 2X + xX = (-21 + 7x + (-3 * x + x * x))
5 + 2X + xX = (-21 + 7x + (-3x + x2))

Combine like terms: 7x + -3x = 4x
5 + 2X + xX = (-21 + 4x + x2)

Solving
5 + 2X + xX = -21 + 4x + x2

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + 2X + -5 + xX = -21 + 4x + -5 + x2

Reorder the terms:
5 + -5 + 2X + xX = -21 + 4x + -5 + x2

Combine like terms: 5 + -5 = 0
0 + 2X + xX = -21 + 4x + -5 + x2
2X + xX = -21 + 4x + -5 + x2

Reorder the terms:
2X + xX = -21 + -5 + 4x + x2

Combine like terms: -21 + -5 = -26
2X + xX = -26 + 4x + x2

Reorder the terms:
26 + 2X + -4x + xX + -1x2 = -26 + 4x + x2 + 26 + -4x + -1x2

Reorder the terms:
26 + 2X + -4x + xX + -1x2 = -26 + 26 + 4x + -4x + x2 + -1x2

Combine like terms: -26 + 26 = 0
26 + 2X + -4x + xX + -1x2 = 0 + 4x + -4x + x2 + -1x2
26 + 2X + -4x + xX + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
26 + 2X + -4x + xX + -1x2 = 0 + x2 + -1x2
26 + 2X + -4x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
26 + 2X + -4x + xX + -1x2 = 0

The solution to this equation could not be determined.

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