(t-7)(t-7)=(t+7)(t+7)+168

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Solution for (t-7)(t-7)=(t+7)(t+7)+168 equation:


Simplifying
(t + -7)(t + -7) = (t + 7)(t + 7) + 168

Reorder the terms:
(-7 + t)(t + -7) = (t + 7)(t + 7) + 168

Reorder the terms:
(-7 + t)(-7 + t) = (t + 7)(t + 7) + 168

Multiply (-7 + t) * (-7 + t)
(-7(-7 + t) + t(-7 + t)) = (t + 7)(t + 7) + 168
((-7 * -7 + t * -7) + t(-7 + t)) = (t + 7)(t + 7) + 168
((49 + -7t) + t(-7 + t)) = (t + 7)(t + 7) + 168
(49 + -7t + (-7 * t + t * t)) = (t + 7)(t + 7) + 168
(49 + -7t + (-7t + t2)) = (t + 7)(t + 7) + 168

Combine like terms: -7t + -7t = -14t
(49 + -14t + t2) = (t + 7)(t + 7) + 168

Reorder the terms:
49 + -14t + t2 = (7 + t)(t + 7) + 168

Reorder the terms:
49 + -14t + t2 = (7 + t)(7 + t) + 168

Multiply (7 + t) * (7 + t)
49 + -14t + t2 = (7(7 + t) + t(7 + t)) + 168
49 + -14t + t2 = ((7 * 7 + t * 7) + t(7 + t)) + 168
49 + -14t + t2 = ((49 + 7t) + t(7 + t)) + 168
49 + -14t + t2 = (49 + 7t + (7 * t + t * t)) + 168
49 + -14t + t2 = (49 + 7t + (7t + t2)) + 168

Combine like terms: 7t + 7t = 14t
49 + -14t + t2 = (49 + 14t + t2) + 168

Reorder the terms:
49 + -14t + t2 = 49 + 168 + 14t + t2

Combine like terms: 49 + 168 = 217
49 + -14t + t2 = 217 + 14t + t2

Add '-1t2' to each side of the equation.
49 + -14t + t2 + -1t2 = 217 + 14t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
49 + -14t + 0 = 217 + 14t + t2 + -1t2
49 + -14t = 217 + 14t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
49 + -14t = 217 + 14t + 0
49 + -14t = 217 + 14t

Solving
49 + -14t = 217 + 14t

Solving for variable 't'.

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

Add '-14t' to each side of the equation.
49 + -14t + -14t = 217 + 14t + -14t

Combine like terms: -14t + -14t = -28t
49 + -28t = 217 + 14t + -14t

Combine like terms: 14t + -14t = 0
49 + -28t = 217 + 0
49 + -28t = 217

Add '-49' to each side of the equation.
49 + -49 + -28t = 217 + -49

Combine like terms: 49 + -49 = 0
0 + -28t = 217 + -49
-28t = 217 + -49

Combine like terms: 217 + -49 = 168
-28t = 168

Divide each side by '-28'.
t = -6

Simplifying
t = -6

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