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

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

Simplifying
F(x) = (2x + -3)(x + 2)

Multiply F * x
xF = (2x + -3)(x + 2)

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

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

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

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

Solving
xF = -6 + 1x + 2x2

Solving for variable 'x'.

Reorder the terms:
6 + -1x + xF + -2x2 = -6 + 1x + 2x2 + 6 + -1x + -2x2

Reorder the terms:
6 + -1x + xF + -2x2 = -6 + 6 + 1x + -1x + 2x2 + -2x2

Combine like terms: -6 + 6 = 0
6 + -1x + xF + -2x2 = 0 + 1x + -1x + 2x2 + -2x2
6 + -1x + xF + -2x2 = 1x + -1x + 2x2 + -2x2

Combine like terms: 1x + -1x = 0
6 + -1x + xF + -2x2 = 0 + 2x2 + -2x2
6 + -1x + xF + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + -1x + xF + -2x2 = 0

The solution to this equation could not be determined.