(t+2)(t-2)=(t+4)(t-5)+9

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Solution for (t+2)(t-2)=(t+4)(t-5)+9 equation: 


Simplifying
(t + 2)(t + -2) = (t + 4)(t + -5) + 9

Reorder the terms:
(2 + t)(t + -2) = (t + 4)(t + -5) + 9

Reorder the terms:
(2 + t)(-2 + t) = (t + 4)(t + -5) + 9

Multiply (2 + t) * (-2 + t)
(2(-2 + t) + t(-2 + t)) = (t + 4)(t + -5) + 9
((-2 * 2 + t * 2) + t(-2 + t)) = (t + 4)(t + -5) + 9
((-4 + 2t) + t(-2 + t)) = (t + 4)(t + -5) + 9
(-4 + 2t + (-2 * t + t * t)) = (t + 4)(t + -5) + 9
(-4 + 2t + (-2t + t2)) = (t + 4)(t + -5) + 9

Combine like terms: 2t + -2t = 0
(-4 + 0 + t2) = (t + 4)(t + -5) + 9
(-4 + t2) = (t + 4)(t + -5) + 9

Reorder the terms:
-4 + t2 = (4 + t)(t + -5) + 9

Reorder the terms:
-4 + t2 = (4 + t)(-5 + t) + 9

Multiply (4 + t) * (-5 + t)
-4 + t2 = (4(-5 + t) + t(-5 + t)) + 9
-4 + t2 = ((-5 * 4 + t * 4) + t(-5 + t)) + 9
-4 + t2 = ((-20 + 4t) + t(-5 + t)) + 9
-4 + t2 = (-20 + 4t + (-5 * t + t * t)) + 9
-4 + t2 = (-20 + 4t + (-5t + t2)) + 9

Combine like terms: 4t + -5t = -1t
-4 + t2 = (-20 + -1t + t2) + 9

Reorder the terms:
-4 + t2 = -20 + 9 + -1t + t2

Combine like terms: -20 + 9 = -11
-4 + t2 = -11 + -1t + t2

Add '-1t2' to each side of the equation.
-4 + t2 + -1t2 = -11 + -1t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-4 + 0 = -11 + -1t + t2 + -1t2
-4 = -11 + -1t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-4 = -11 + -1t + 0
-4 = -11 + -1t

Solving
-4 = -11 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-4 + t = -11 + -1t + t

Combine like terms: -1t + t = 0
-4 + t = -11 + 0
-4 + t = -11

Add '4' to each side of the equation.
-4 + 4 + t = -11 + 4

Combine like terms: -4 + 4 = 0
0 + t = -11 + 4
t = -11 + 4

Combine like terms: -11 + 4 = -7
t = -7

Simplifying
t = -7

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