(x-3)(x+4)=(x+6)

Solution for (x-3)(x+4)=(x+6) equation:

Simplifying
(x + -3)(x + 4) = (x + 6)

Reorder the terms:
(-3 + x)(x + 4) = (x + 6)

Reorder the terms:
(-3 + x)(4 + x) = (x + 6)

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) = (x + 6)
((4 * -3 + x * -3) + x(4 + x)) = (x + 6)
((-12 + -3x) + x(4 + x)) = (x + 6)
(-12 + -3x + (4 * x + x * x)) = (x + 6)
(-12 + -3x + (4x + x2)) = (x + 6)

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) = (x + 6)

Reorder the terms:
-12 + 1x + x2 = (6 + x)

Remove parenthesis around (6 + x)
-12 + 1x + x2 = 6 + x

Solving
-12 + 1x + x2 = 6 + x

Solving for variable 'x'.

Reorder the terms:
-12 + -6 + 1x + -1x + x2 = 6 + x + -6 + -1x

Combine like terms: -12 + -6 = -18
-18 + 1x + -1x + x2 = 6 + x + -6 + -1x

Combine like terms: 1x + -1x = 0
-18 + 0 + x2 = 6 + x + -6 + -1x
-18 + x2 = 6 + x + -6 + -1x

Reorder the terms:
-18 + x2 = 6 + -6 + x + -1x

Combine like terms: 6 + -6 = 0
-18 + x2 = 0 + x + -1x
-18 + x2 = x + -1x

Combine like terms: x + -1x = 0
-18 + x2 = 0

The solution to this equation could not be determined.