7+X(x+4)=(x+2)(x+3)

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Solution for 7+X(x+4)=(x+2)(x+3) equation: 


Simplifying
7 + X(x + 4) = (x + 2)(x + 3)

Reorder the terms:
7 + X(4 + x) = (x + 2)(x + 3)
7 + (4 * X + x * X) = (x + 2)(x + 3)
7 + (4X + xX) = (x + 2)(x + 3)

Reorder the terms:
7 + 4X + xX = (2 + x)(x + 3)

Reorder the terms:
7 + 4X + xX = (2 + x)(3 + x)

Multiply (2 + x) * (3 + x)
7 + 4X + xX = (2(3 + x) + x(3 + x))
7 + 4X + xX = ((3 * 2 + x * 2) + x(3 + x))
7 + 4X + xX = ((6 + 2x) + x(3 + x))
7 + 4X + xX = (6 + 2x + (3 * x + x * x))
7 + 4X + xX = (6 + 2x + (3x + x2))

Combine like terms: 2x + 3x = 5x
7 + 4X + xX = (6 + 5x + x2)

Solving
7 + 4X + xX = 6 + 5x + x2

Solving for variable 'X'.

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

Add '-7' to each side of the equation.
7 + 4X + -7 + xX = 6 + 5x + -7 + x2

Reorder the terms:
7 + -7 + 4X + xX = 6 + 5x + -7 + x2

Combine like terms: 7 + -7 = 0
0 + 4X + xX = 6 + 5x + -7 + x2
4X + xX = 6 + 5x + -7 + x2

Reorder the terms:
4X + xX = 6 + -7 + 5x + x2

Combine like terms: 6 + -7 = -1
4X + xX = -1 + 5x + x2

Reorder the terms:
1 + 4X + -5x + xX + -1x2 = -1 + 5x + x2 + 1 + -5x + -1x2

Reorder the terms:
1 + 4X + -5x + xX + -1x2 = -1 + 1 + 5x + -5x + x2 + -1x2

Combine like terms: -1 + 1 = 0
1 + 4X + -5x + xX + -1x2 = 0 + 5x + -5x + x2 + -1x2
1 + 4X + -5x + xX + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
1 + 4X + -5x + xX + -1x2 = 0 + x2 + -1x2
1 + 4X + -5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + 4X + -5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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