H(x)=(3-x)(2+x)

Solution for H(x)=(3-x)(2+x) equation:

Simplifying
H(x) = (3 + -1x)(2 + x)

Multiply H * x
xH = (3 + -1x)(2 + x)

Multiply (3 + -1x) * (2 + x)
xH = (3(2 + x) + -1x * (2 + x))
xH = ((2 * 3 + x * 3) + -1x * (2 + x))
xH = ((6 + 3x) + -1x * (2 + x))
xH = (6 + 3x + (2 * -1x + x * -1x))
xH = (6 + 3x + (-2x + -1x2))

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

Solving
xH = 6 + 1x + -1x2

Solving for variable 'x'.

Reorder the terms:
-6 + -1x + xH + x2 = 6 + 1x + -1x2 + -6 + -1x + x2

Reorder the terms:
-6 + -1x + xH + x2 = 6 + -6 + 1x + -1x + -1x2 + x2

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

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

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

The solution to this equation could not be determined.