5t^2-15+10=5t^2-2t

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Solution for 5t^2-15+10=5t^2-2t equation:


Simplifying
5t2 + -15 + 10 = 5t2 + -2t

Reorder the terms:
-15 + 10 + 5t2 = 5t2 + -2t

Combine like terms: -15 + 10 = -5
-5 + 5t2 = 5t2 + -2t

Reorder the terms:
-5 + 5t2 = -2t + 5t2

Add '-5t2' to each side of the equation.
-5 + 5t2 + -5t2 = -2t + 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
-5 + 0 = -2t + 5t2 + -5t2
-5 = -2t + 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
-5 = -2t + 0
-5 = -2t

Solving
-5 = -2t

Solving for variable 't'.

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

Add '2t' to each side of the equation.
-5 + 2t = -2t + 2t

Combine like terms: -2t + 2t = 0
-5 + 2t = 0

Add '5' to each side of the equation.
-5 + 5 + 2t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2t = 0 + 5
2t = 0 + 5

Combine like terms: 0 + 5 = 5
2t = 5

Divide each side by '2'.
t = 2.5

Simplifying
t = 2.5

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