-2(t-8)(t+8)=7

Solution for -2(t-8)(t+8)=7 equation:

Simplifying
-2(t + -8)(t + 8) = 7

Reorder the terms:
-2(-8 + t)(t + 8) = 7

Reorder the terms:
-2(-8 + t)(8 + t) = 7

Multiply (-8 + t) * (8 + t)
-2(-8(8 + t) + t(8 + t)) = 7
-2((8 * -8 + t * -8) + t(8 + t)) = 7
-2((-64 + -8t) + t(8 + t)) = 7
-2(-64 + -8t + (8 * t + t * t)) = 7
-2(-64 + -8t + (8t + t2)) = 7

Combine like terms: -8t + 8t = 0
-2(-64 + 0 + t2) = 7
-2(-64 + t2) = 7
(-64 * -2 + t2 * -2) = 7
(128 + -2t2) = 7

Solving
128 + -2t2 = 7

Solving for variable 't'.

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

Add '-128' to each side of the equation.
128 + -128 + -2t2 = 7 + -128

Combine like terms: 128 + -128 = 0
0 + -2t2 = 7 + -128
-2t2 = 7 + -128

Combine like terms: 7 + -128 = -121
-2t2 = -121

Divide each side by '-2'.
t2 = 60.5

Simplifying
t2 = 60.5

Take the square root of each side:
t = {-7.778174593, 7.778174593}