8-(t+4)(t-2)=(2+t)(2-t)

Solution for 8-(t+4)(t-2)=(2+t)(2-t) equation:

Simplifying
8 + -1(t + 4)(t + -2) = (2 + t)(2 + -1t)

Reorder the terms:
8 + -1(4 + t)(t + -2) = (2 + t)(2 + -1t)

Reorder the terms:
8 + -1(4 + t)(-2 + t) = (2 + t)(2 + -1t)

Multiply (4 + t) * (-2 + t)
8 + -1(4(-2 + t) + t(-2 + t)) = (2 + t)(2 + -1t)
8 + -1((-2 * 4 + t * 4) + t(-2 + t)) = (2 + t)(2 + -1t)
8 + -1((-8 + 4t) + t(-2 + t)) = (2 + t)(2 + -1t)
8 + -1(-8 + 4t + (-2 * t + t * t)) = (2 + t)(2 + -1t)
8 + -1(-8 + 4t + (-2t + t2)) = (2 + t)(2 + -1t)

Combine like terms: 4t + -2t = 2t
8 + -1(-8 + 2t + t2) = (2 + t)(2 + -1t)
8 + (-8 * -1 + 2t * -1 + t2 * -1) = (2 + t)(2 + -1t)
8 + (8 + -2t + -1t2) = (2 + t)(2 + -1t)

Combine like terms: 8 + 8 = 16
16 + -2t + -1t2 = (2 + t)(2 + -1t)

Multiply (2 + t) * (2 + -1t)
16 + -2t + -1t2 = (2(2 + -1t) + t(2 + -1t))
16 + -2t + -1t2 = ((2 * 2 + -1t * 2) + t(2 + -1t))
16 + -2t + -1t2 = ((4 + -2t) + t(2 + -1t))
16 + -2t + -1t2 = (4 + -2t + (2 * t + -1t * t))
16 + -2t + -1t2 = (4 + -2t + (2t + -1t2))

Combine like terms: -2t + 2t = 0
16 + -2t + -1t2 = (4 + 0 + -1t2)
16 + -2t + -1t2 = (4 + -1t2)

Add 't2' to each side of the equation.
16 + -2t + -1t2 + t2 = 4 + -1t2 + t2

Combine like terms: -1t2 + t2 = 0
16 + -2t + 0 = 4 + -1t2 + t2
16 + -2t = 4 + -1t2 + t2

Combine like terms: -1t2 + t2 = 0
16 + -2t = 4 + 0
16 + -2t = 4

Solving
16 + -2t = 4

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + -2t = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -2t = 4 + -16
-2t = 4 + -16

Combine like terms: 4 + -16 = -12
-2t = -12

Divide each side by '-2'.
t = 6

Simplifying
t = 6