t^2+8t+15=t^2+5t+17

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Solution for t^2+8t+15=t^2+5t+17 equation:


Simplifying
t2 + 8t + 15 = t2 + 5t + 17

Reorder the terms:
15 + 8t + t2 = t2 + 5t + 17

Reorder the terms:
15 + 8t + t2 = 17 + 5t + t2

Add '-1t2' to each side of the equation.
15 + 8t + t2 + -1t2 = 17 + 5t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
15 + 8t + 0 = 17 + 5t + t2 + -1t2
15 + 8t = 17 + 5t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
15 + 8t = 17 + 5t + 0
15 + 8t = 17 + 5t

Solving
15 + 8t = 17 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
15 + 8t + -5t = 17 + 5t + -5t

Combine like terms: 8t + -5t = 3t
15 + 3t = 17 + 5t + -5t

Combine like terms: 5t + -5t = 0
15 + 3t = 17 + 0
15 + 3t = 17

Add '-15' to each side of the equation.
15 + -15 + 3t = 17 + -15

Combine like terms: 15 + -15 = 0
0 + 3t = 17 + -15
3t = 17 + -15

Combine like terms: 17 + -15 = 2
3t = 2

Divide each side by '3'.
t = 0.6666666667

Simplifying
t = 0.6666666667

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