16(t-8)=t(t+8)

Solution for 16(t-8)=t(t+8) equation:

Simplifying
16(t + -8) = t(t + 8)

Reorder the terms:
16(-8 + t) = t(t + 8)
(-8 * 16 + t * 16) = t(t + 8)
(-128 + 16t) = t(t + 8)

Reorder the terms:
-128 + 16t = t(8 + t)
-128 + 16t = (8 * t + t * t)
-128 + 16t = (8t + t2)

Solving
-128 + 16t = 8t + t2

Solving for variable 't'.

Combine like terms: 16t + -8t = 8t
-128 + 8t + -1t2 = 8t + t2 + -8t + -1t2

Reorder the terms:
-128 + 8t + -1t2 = 8t + -8t + t2 + -1t2

Combine like terms: 8t + -8t = 0
-128 + 8t + -1t2 = 0 + t2 + -1t2
-128 + 8t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-128 + 8t + -1t2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
128 + -8t + t2 = 0

Move the constant term to the right:

Add '-128' to each side of the equation.
128 + -8t + -128 + t2 = 0 + -128

Reorder the terms:
128 + -128 + -8t + t2 = 0 + -128

Combine like terms: 128 + -128 = 0
0 + -8t + t2 = 0 + -128
-8t + t2 = 0 + -128

Combine like terms: 0 + -128 = -128
-8t + t2 = -128

The t term is -8t.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8t + 16 + t2 = -128 + 16

Reorder the terms:
16 + -8t + t2 = -128 + 16

Combine like terms: -128 + 16 = -112
16 + -8t + t2 = -112

Factor a perfect square on the left side:
(t + -4)(t + -4) = -112

Can't calculate square root of the right side.

The solution to this equation could not be determined.