(2t-5)(6t+5)=(6t-5)(2t+6)

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Solution for (2t-5)(6t+5)=(6t-5)(2t+6) equation: 


Simplifying
(2t + -5)(6t + 5) = (6t + -5)(2t + 6)

Reorder the terms:
(-5 + 2t)(6t + 5) = (6t + -5)(2t + 6)

Reorder the terms:
(-5 + 2t)(5 + 6t) = (6t + -5)(2t + 6)

Multiply (-5 + 2t) * (5 + 6t)
(-5(5 + 6t) + 2t * (5 + 6t)) = (6t + -5)(2t + 6)
((5 * -5 + 6t * -5) + 2t * (5 + 6t)) = (6t + -5)(2t + 6)
((-25 + -30t) + 2t * (5 + 6t)) = (6t + -5)(2t + 6)
(-25 + -30t + (5 * 2t + 6t * 2t)) = (6t + -5)(2t + 6)
(-25 + -30t + (10t + 12t2)) = (6t + -5)(2t + 6)

Combine like terms: -30t + 10t = -20t
(-25 + -20t + 12t2) = (6t + -5)(2t + 6)

Reorder the terms:
-25 + -20t + 12t2 = (-5 + 6t)(2t + 6)

Reorder the terms:
-25 + -20t + 12t2 = (-5 + 6t)(6 + 2t)

Multiply (-5 + 6t) * (6 + 2t)
-25 + -20t + 12t2 = (-5(6 + 2t) + 6t * (6 + 2t))
-25 + -20t + 12t2 = ((6 * -5 + 2t * -5) + 6t * (6 + 2t))
-25 + -20t + 12t2 = ((-30 + -10t) + 6t * (6 + 2t))
-25 + -20t + 12t2 = (-30 + -10t + (6 * 6t + 2t * 6t))
-25 + -20t + 12t2 = (-30 + -10t + (36t + 12t2))

Combine like terms: -10t + 36t = 26t
-25 + -20t + 12t2 = (-30 + 26t + 12t2)

Add '-12t2' to each side of the equation.
-25 + -20t + 12t2 + -12t2 = -30 + 26t + 12t2 + -12t2

Combine like terms: 12t2 + -12t2 = 0
-25 + -20t + 0 = -30 + 26t + 12t2 + -12t2
-25 + -20t = -30 + 26t + 12t2 + -12t2

Combine like terms: 12t2 + -12t2 = 0
-25 + -20t = -30 + 26t + 0
-25 + -20t = -30 + 26t

Solving
-25 + -20t = -30 + 26t

Solving for variable 't'.

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

Add '-26t' to each side of the equation.
-25 + -20t + -26t = -30 + 26t + -26t

Combine like terms: -20t + -26t = -46t
-25 + -46t = -30 + 26t + -26t

Combine like terms: 26t + -26t = 0
-25 + -46t = -30 + 0
-25 + -46t = -30

Add '25' to each side of the equation.
-25 + 25 + -46t = -30 + 25

Combine like terms: -25 + 25 = 0
0 + -46t = -30 + 25
-46t = -30 + 25

Combine like terms: -30 + 25 = -5
-46t = -5

Divide each side by '-46'.
t = 0.1086956522

Simplifying
t = 0.1086956522

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