X^2+4=(x-3)(2+x)

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


Simplifying
X2 + 4 = (x + -3)(2 + x)

Reorder the terms:
4 + X2 = (x + -3)(2 + x)

Reorder the terms:
4 + X2 = (-3 + x)(2 + x)

Multiply (-3 + x) * (2 + x)
4 + X2 = (-3(2 + x) + x(2 + x))
4 + X2 = ((2 * -3 + x * -3) + x(2 + x))
4 + X2 = ((-6 + -3x) + x(2 + x))
4 + X2 = (-6 + -3x + (2 * x + x * x))
4 + X2 = (-6 + -3x + (2x + x2))

Combine like terms: -3x + 2x = -1x
4 + X2 = (-6 + -1x + x2)

Solving
4 + X2 = -6 + -1x + x2

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + -4 + X2 = -6 + -1x + -4 + x2

Combine like terms: 4 + -4 = 0
0 + X2 = -6 + -1x + -4 + x2
X2 = -6 + -1x + -4 + x2

Reorder the terms:
X2 = -6 + -4 + -1x + x2

Combine like terms: -6 + -4 = -10
X2 = -10 + -1x + x2

Simplifying
X2 = -10 + -1x + x2

Reorder the terms:
10 + X2 + x + -1x2 = -10 + -1x + x2 + 10 + x + -1x2

Reorder the terms:
10 + X2 + x + -1x2 = -10 + 10 + -1x + x + x2 + -1x2

Combine like terms: -10 + 10 = 0
10 + X2 + x + -1x2 = 0 + -1x + x + x2 + -1x2
10 + X2 + x + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
10 + X2 + x + -1x2 = 0 + x2 + -1x2
10 + X2 + x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + X2 + x + -1x2 = 0

The solution to this equation could not be determined.

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