(t-4)(t-4)=(t+4)(t+4)+32

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Solution for (t-4)(t-4)=(t+4)(t+4)+32 equation:


Simplifying
(t + -4)(t + -4) = (t + 4)(t + 4) + 32

Reorder the terms:
(-4 + t)(t + -4) = (t + 4)(t + 4) + 32

Reorder the terms:
(-4 + t)(-4 + t) = (t + 4)(t + 4) + 32

Multiply (-4 + t) * (-4 + t)
(-4(-4 + t) + t(-4 + t)) = (t + 4)(t + 4) + 32
((-4 * -4 + t * -4) + t(-4 + t)) = (t + 4)(t + 4) + 32
((16 + -4t) + t(-4 + t)) = (t + 4)(t + 4) + 32
(16 + -4t + (-4 * t + t * t)) = (t + 4)(t + 4) + 32
(16 + -4t + (-4t + t2)) = (t + 4)(t + 4) + 32

Combine like terms: -4t + -4t = -8t
(16 + -8t + t2) = (t + 4)(t + 4) + 32

Reorder the terms:
16 + -8t + t2 = (4 + t)(t + 4) + 32

Reorder the terms:
16 + -8t + t2 = (4 + t)(4 + t) + 32

Multiply (4 + t) * (4 + t)
16 + -8t + t2 = (4(4 + t) + t(4 + t)) + 32
16 + -8t + t2 = ((4 * 4 + t * 4) + t(4 + t)) + 32
16 + -8t + t2 = ((16 + 4t) + t(4 + t)) + 32
16 + -8t + t2 = (16 + 4t + (4 * t + t * t)) + 32
16 + -8t + t2 = (16 + 4t + (4t + t2)) + 32

Combine like terms: 4t + 4t = 8t
16 + -8t + t2 = (16 + 8t + t2) + 32

Reorder the terms:
16 + -8t + t2 = 16 + 32 + 8t + t2

Combine like terms: 16 + 32 = 48
16 + -8t + t2 = 48 + 8t + t2

Add '-1t2' to each side of the equation.
16 + -8t + t2 + -1t2 = 48 + 8t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
16 + -8t + 0 = 48 + 8t + t2 + -1t2
16 + -8t = 48 + 8t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
16 + -8t = 48 + 8t + 0
16 + -8t = 48 + 8t

Solving
16 + -8t = 48 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
16 + -8t + -8t = 48 + 8t + -8t

Combine like terms: -8t + -8t = -16t
16 + -16t = 48 + 8t + -8t

Combine like terms: 8t + -8t = 0
16 + -16t = 48 + 0
16 + -16t = 48

Add '-16' to each side of the equation.
16 + -16 + -16t = 48 + -16

Combine like terms: 16 + -16 = 0
0 + -16t = 48 + -16
-16t = 48 + -16

Combine like terms: 48 + -16 = 32
-16t = 32

Divide each side by '-16'.
t = -2

Simplifying
t = -2

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